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Finding the Fourth Proportional to 415,230.30, 573,017.80 and 224,243.68

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Solution

The fourth proportional to 415,230.30, 573,017.80 and 224,243.68 is: 309,456.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,230.30 : 573,017.80 = 224,243.68 : x
  2. Step 2: Convert to fraction form
    415,230.30/573,017.80 = 224,243.68/x
  3. Step 3: Cross multiply
    415,230.30x = 573,017.80 × 224,243.68
  4. Step 4: Simplify right side
    415,230.30x = 128,495,620,177.50
  5. Step 5: Solve for x
    x = 128,495,620,177.50/415,230.30
  6. Step 6: Final answer
    x = 309,456.27

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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.