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Finding the Fourth Proportional to 398,242.13, 597,004.50 and 145,345.17

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Solution

The fourth proportional to 398,242.13, 597,004.50 and 145,345.17 is: 217,886.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,242.13 : 597,004.50 = 145,345.17 : x
  2. Step 2: Convert to fraction form
    398,242.13/597,004.50 = 145,345.17/x
  3. Step 3: Cross multiply
    398,242.13x = 597,004.50 × 145,345.17
  4. Step 4: Simplify right side
    398,242.13x = 86,771,720,543.27
  5. Step 5: Solve for x
    x = 86,771,720,543.27/398,242.13
  6. Step 6: Final answer
    x = 217,886.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.