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Finding the Fourth Proportional to 506,405.84, 759,982.08 and 240,167.28

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Solution

The fourth proportional to 506,405.84, 759,982.08 and 240,167.28 is: 360,427.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,405.84 : 759,982.08 = 240,167.28 : x
  2. Step 2: Convert to fraction form
    506,405.84/759,982.08 = 240,167.28/x
  3. Step 3: Cross multiply
    506,405.84x = 759,982.08 × 240,167.28
  4. Step 4: Simplify right side
    506,405.84x = 182,522,829,002.34
  5. Step 5: Solve for x
    x = 182,522,829,002.34/506,405.84
  6. Step 6: Final answer
    x = 360,427.97

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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.