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Finding the Fourth Proportional to 612,148.80, 918,223.20 and 413,083.20

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Solution

The fourth proportional to 612,148.80, 918,223.20 and 413,083.20 is: 619,624.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,148.80 : 918,223.20 = 413,083.20 : x
  2. Step 2: Convert to fraction form
    612,148.80/918,223.20 = 413,083.20/x
  3. Step 3: Cross multiply
    612,148.80x = 918,223.20 × 413,083.20
  4. Step 4: Simplify right side
    612,148.80x = 379,302,577,770.24
  5. Step 5: Solve for x
    x = 379,302,577,770.24/612,148.80
  6. Step 6: Final answer
    x = 619,624.80

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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.