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Finding the Fourth Proportional to 363,609.10, 545,413.65 and 114,291.10

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Solution

The fourth proportional to 363,609.10, 545,413.65 and 114,291.10 is: 171,436.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,609.10 : 545,413.65 = 114,291.10 : x
  2. Step 2: Convert to fraction form
    363,609.10/545,413.65 = 114,291.10/x
  3. Step 3: Cross multiply
    363,609.10x = 545,413.65 × 114,291.10
  4. Step 4: Simplify right side
    363,609.10x = 62,335,926,013.52
  5. Step 5: Solve for x
    x = 62,335,926,013.52/363,609.10
  6. Step 6: Final answer
    x = 171,436.65

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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.