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Finding the Fourth Proportional to 275,685,461.80, 413,024,307.90 and 224,289,212.20

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Solution

The fourth proportional to 275,685,461.80, 413,024,307.90 and 224,289,212.20 is: 336,023,873.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,685,461.80 : 413,024,307.90 = 224,289,212.20 : x
  2. Step 2: Convert to fraction form
    275,685,461.80/413,024,307.90 = 224,289,212.20/x
  3. Step 3: Cross multiply
    275,685,461.80x = 413,024,307.90 × 224,289,212.20
  4. Step 4: Simplify right side
    275,685,461.80x = 92,636,896,638,341,232
  5. Step 5: Solve for x
    x = 92,636,896,638,341,232/275,685,461.80
  6. Step 6: Final answer
    x = 336,023,873.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.