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Finding the Fourth Proportional to 429,411.92, 592,570.50 and 238,413.92

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Solution

The fourth proportional to 429,411.92, 592,570.50 and 238,413.92 is: 329,001.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,411.92 : 592,570.50 = 238,413.92 : x
  2. Step 2: Convert to fraction form
    429,411.92/592,570.50 = 238,413.92/x
  3. Step 3: Cross multiply
    429,411.92x = 592,570.50 × 238,413.92
  4. Step 4: Simplify right side
    429,411.92x = 141,277,055,781.36
  5. Step 5: Solve for x
    x = 141,277,055,781.36/429,411.92
  6. Step 6: Final answer
    x = 329,001.24

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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.