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Finding the Fourth Proportional to 546,157.38, 753,964.64 and 423,378.53

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Solution

The fourth proportional to 546,157.38, 753,964.64 and 423,378.53 is: 584,469.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,157.38 : 753,964.64 = 423,378.53 : x
  2. Step 2: Convert to fraction form
    546,157.38/753,964.64 = 423,378.53/x
  3. Step 3: Cross multiply
    546,157.38x = 753,964.64 × 423,378.53
  4. Step 4: Simplify right side
    546,157.38x = 319,212,435,068.46
  5. Step 5: Solve for x
    x = 319,212,435,068.46/546,157.38
  6. Step 6: Final answer
    x = 584,469.69

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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.