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Finding the Fourth Proportional to 415,210.63, 572,990.66 and 224,224.02

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Solution

The fourth proportional to 415,210.63, 572,990.66 and 224,224.02 is: 309,429.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,210.63 : 572,990.66 = 224,224.02 : x
  2. Step 2: Convert to fraction form
    415,210.63/572,990.66 = 224,224.02/x
  3. Step 3: Cross multiply
    415,210.63x = 572,990.66 × 224,224.02
  4. Step 4: Simplify right side
    415,210.63x = 128,478,269,207.65
  5. Step 5: Solve for x
    x = 128,478,269,207.65/415,210.63
  6. Step 6: Final answer
    x = 309,429.14

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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.