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Finding the Fourth Proportional to 369,918.66, 510,433 and 224,648.90

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Solution

The fourth proportional to 369,918.66, 510,433 and 224,648.90 is: 309,982.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,918.66 : 510,433 = 224,648.90 : x
  2. Step 2: Convert to fraction form
    369,918.66/510,433 = 224,648.90/x
  3. Step 3: Cross multiply
    369,918.66x = 510,433 × 224,648.90
  4. Step 4: Simplify right side
    369,918.66x = 114,668,211,973.70
  5. Step 5: Solve for x
    x = 114,668,211,973.70/369,918.66
  6. Step 6: Final answer
    x = 309,982.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.