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Finding the Fourth Proportional to 586,892.50, 809,920.05 and 341,870.97

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Solution

The fourth proportional to 586,892.50, 809,920.05 and 341,870.97 is: 471,786.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,892.50 : 809,920.05 = 341,870.97 : x
  2. Step 2: Convert to fraction form
    586,892.50/809,920.05 = 341,870.97/x
  3. Step 3: Cross multiply
    586,892.50x = 809,920.05 × 341,870.97
  4. Step 4: Simplify right side
    586,892.50x = 276,888,153,115.95
  5. Step 5: Solve for x
    x = 276,888,153,115.95/586,892.50
  6. Step 6: Final answer
    x = 471,786.83

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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.