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Finding the Fourth Proportional to 602,565.84, 903,837.42 and 147,164.40

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Solution

The fourth proportional to 602,565.84, 903,837.42 and 147,164.40 is: 220,743.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,565.84 : 903,837.42 = 147,164.40 : x
  2. Step 2: Convert to fraction form
    602,565.84/903,837.42 = 147,164.40/x
  3. Step 3: Cross multiply
    602,565.84x = 903,837.42 × 147,164.40
  4. Step 4: Simplify right side
    602,565.84x = 133,012,691,611.85
  5. Step 5: Solve for x
    x = 133,012,691,611.85/602,565.84
  6. Step 6: Final answer
    x = 220,743.83

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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.