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Finding the Fourth Proportional to 500,833.80, 691,074.18 and 282,962.97

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Solution

The fourth proportional to 500,833.80, 691,074.18 and 282,962.97 is: 390,445.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,833.80 : 691,074.18 = 282,962.97 : x
  2. Step 2: Convert to fraction form
    500,833.80/691,074.18 = 282,962.97/x
  3. Step 3: Cross multiply
    500,833.80x = 691,074.18 × 282,962.97
  4. Step 4: Simplify right side
    500,833.80x = 195,548,402,463.12
  5. Step 5: Solve for x
    x = 195,548,402,463.12/500,833.80
  6. Step 6: Final answer
    x = 390,445.70

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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.