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Finding the Fourth Proportional to 697,357, 1,046,413.50 and 539,893

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Solution

The fourth proportional to 697,357, 1,046,413.50 and 539,893 is: 810,132.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,357 : 1,046,413.50 = 539,893 : x
  2. Step 2: Convert to fraction form
    697,357/1,046,413.50 = 539,893/x
  3. Step 3: Cross multiply
    697,357x = 1,046,413.50 × 539,893
  4. Step 4: Simplify right side
    697,357x = 564,951,323,755.50
  5. Step 5: Solve for x
    x = 564,951,323,755.50/697,357
  6. Step 6: Final answer
    x = 810,132.15

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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.