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Finding the Fourth Proportional to 532,908, 735,413.04 and 306,553.50

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Solution

The fourth proportional to 532,908, 735,413.04 and 306,553.50 is: 423,043.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,908 : 735,413.04 = 306,553.50 : x
  2. Step 2: Convert to fraction form
    532,908/735,413.04 = 306,553.50/x
  3. Step 3: Cross multiply
    532,908x = 735,413.04 × 306,553.50
  4. Step 4: Simplify right side
    532,908x = 225,443,441,357.64
  5. Step 5: Solve for x
    x = 225,443,441,357.64/532,908
  6. Step 6: Final answer
    x = 423,043.83

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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.