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Finding the Fourth Proportional to 519,952.35, 779,411.85 and 361,848.66

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Solution

The fourth proportional to 519,952.35, 779,411.85 and 361,848.66 is: 542,413.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,952.35 : 779,411.85 = 361,848.66 : x
  2. Step 2: Convert to fraction form
    519,952.35/779,411.85 = 361,848.66/x
  3. Step 3: Cross multiply
    519,952.35x = 779,411.85 × 361,848.66
  4. Step 4: Simplify right side
    519,952.35x = 282,029,133,510.62
  5. Step 5: Solve for x
    x = 282,029,133,510.62/519,952.35
  6. Step 6: Final answer
    x = 542,413.42

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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.