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Finding the Fourth Proportional to 502,413.58, 753,560.16 and 165,370.42

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Solution

The fourth proportional to 502,413.58, 753,560.16 and 165,370.42 is: 248,035.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,413.58 : 753,560.16 = 165,370.42 : x
  2. Step 2: Convert to fraction form
    502,413.58/753,560.16 = 165,370.42/x
  3. Step 3: Cross multiply
    502,413.58x = 753,560.16 × 165,370.42
  4. Step 4: Simplify right side
    502,413.58x = 124,616,560,154.47
  5. Step 5: Solve for x
    x = 124,616,560,154.47/502,413.58
  6. Step 6: Final answer
    x = 248,035.81

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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.