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Finding the Fourth Proportional to 415,329.09, 573,154.50 and 224,342.64

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Solution

The fourth proportional to 415,329.09, 573,154.50 and 224,342.64 is: 309,593.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,329.09 : 573,154.50 = 224,342.64 : x
  2. Step 2: Convert to fraction form
    415,329.09/573,154.50 = 224,342.64/x
  3. Step 3: Cross multiply
    415,329.09x = 573,154.50 × 224,342.64
  4. Step 4: Simplify right side
    415,329.09x = 128,582,993,657.88
  5. Step 5: Solve for x
    x = 128,582,993,657.88/415,329.09
  6. Step 6: Final answer
    x = 309,593.04

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