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Finding the Fourth Proportional to 506,413.50, 698,129.33 and 345,061.50

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Solution

The fourth proportional to 506,413.50, 698,129.33 and 345,061.50 is: 475,693.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,413.50 : 698,129.33 = 345,061.50 : x
  2. Step 2: Convert to fraction form
    506,413.50/698,129.33 = 345,061.50/x
  3. Step 3: Cross multiply
    506,413.50x = 698,129.33 × 345,061.50
  4. Step 4: Simplify right side
    506,413.50x = 240,897,552,078.49
  5. Step 5: Solve for x
    x = 240,897,552,078.49/506,413.50
  6. Step 6: Final answer
    x = 475,693.39

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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.