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Finding the Fourth Proportional to 586,778.04, 880,123.32 and 187,461

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Solution

The fourth proportional to 586,778.04, 880,123.32 and 187,461 is: 281,177.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,778.04 : 880,123.32 = 187,461 : x
  2. Step 2: Convert to fraction form
    586,778.04/880,123.32 = 187,461/x
  3. Step 3: Cross multiply
    586,778.04x = 880,123.32 × 187,461
  4. Step 4: Simplify right side
    586,778.04x = 164,988,797,690.52
  5. Step 5: Solve for x
    x = 164,988,797,690.52/586,778.04
  6. Step 6: Final answer
    x = 281,177.53

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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.