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Finding the Fourth Proportional to 415,406.10, 573,260.94 and 224,419.50

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Solution

The fourth proportional to 415,406.10, 573,260.94 and 224,419.50 is: 309,699.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,406.10 : 573,260.94 = 224,419.50 : x
  2. Step 2: Convert to fraction form
    415,406.10/573,260.94 = 224,419.50/x
  3. Step 3: Cross multiply
    415,406.10x = 573,260.94 × 224,419.50
  4. Step 4: Simplify right side
    415,406.10x = 128,650,933,524.33
  5. Step 5: Solve for x
    x = 128,650,933,524.33/415,406.10
  6. Step 6: Final answer
    x = 309,699.19

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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.