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Finding the Fourth Proportional to 592,155.48, 816,657.98 and 419,732.40

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Solution

The fourth proportional to 592,155.48, 816,657.98 and 419,732.40 is: 578,864.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,155.48 : 816,657.98 = 419,732.40 : x
  2. Step 2: Convert to fraction form
    592,155.48/816,657.98 = 419,732.40/x
  3. Step 3: Cross multiply
    592,155.48x = 816,657.98 × 419,732.40
  4. Step 4: Simplify right side
    592,155.48x = 342,777,813,924.55
  5. Step 5: Solve for x
    x = 342,777,813,924.55/592,155.48
  6. Step 6: Final answer
    x = 578,864.55

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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.