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Finding the Fourth Proportional to 598,651.08, 827,038.17 and 392,409.01

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Solution

The fourth proportional to 598,651.08, 827,038.17 and 392,409.01 is: 542,114.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,651.08 : 827,038.17 = 392,409.01 : x
  2. Step 2: Convert to fraction form
    598,651.08/827,038.17 = 392,409.01/x
  3. Step 3: Cross multiply
    598,651.08x = 827,038.17 × 392,409.01
  4. Step 4: Simplify right side
    598,651.08x = 324,537,227,007.27
  5. Step 5: Solve for x
    x = 324,537,227,007.27/598,651.08
  6. Step 6: Final answer
    x = 542,114.16

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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.