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Finding the Fourth Proportional to 616,275.96, 924,413.52 and 232,097.28

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Solution

The fourth proportional to 616,275.96, 924,413.52 and 232,097.28 is: 348,145.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,275.96 : 924,413.52 = 232,097.28 : x
  2. Step 2: Convert to fraction form
    616,275.96/924,413.52 = 232,097.28/x
  3. Step 3: Cross multiply
    616,275.96x = 924,413.52 × 232,097.28
  4. Step 4: Simplify right side
    616,275.96x = 214,553,863,587.23
  5. Step 5: Solve for x
    x = 214,553,863,587.23/616,275.96
  6. Step 6: Final answer
    x = 348,145.76

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Why These Related Problems?

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