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Finding the Fourth Proportional to 429,404.54, 592,566.99 and 238,413.02

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Solution

The fourth proportional to 429,404.54, 592,566.99 and 238,413.02 is: 329,003.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,404.54 : 592,566.99 = 238,413.02 : x
  2. Step 2: Convert to fraction form
    429,404.54/592,566.99 = 238,413.02/x
  3. Step 3: Cross multiply
    429,404.54x = 592,566.99 × 238,413.02
  4. Step 4: Simplify right side
    429,404.54x = 141,275,685,638.21
  5. Step 5: Solve for x
    x = 141,275,685,638.21/429,404.54
  6. Step 6: Final answer
    x = 329,003.71

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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.