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Finding the Fourth Proportional to 508,784.41, 762,459.12 and 281,182.52

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Solution

The fourth proportional to 508,784.41, 762,459.12 and 281,182.52 is: 421,377.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,784.41 : 762,459.12 = 281,182.52 : x
  2. Step 2: Convert to fraction form
    508,784.41/762,459.12 = 281,182.52/x
  3. Step 3: Cross multiply
    508,784.41x = 762,459.12 × 281,182.52
  4. Step 4: Simplify right side
    508,784.41x = 214,390,175,352.67
  5. Step 5: Solve for x
    x = 214,390,175,352.67/508,784.41
  6. Step 6: Final answer
    x = 421,377.25

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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.