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Finding the Fourth Proportional to 546,523.92, 754,204.35 and 304,822.16

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Solution

The fourth proportional to 546,523.92, 754,204.35 and 304,822.16 is: 420,655.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,523.92 : 754,204.35 = 304,822.16 : x
  2. Step 2: Convert to fraction form
    546,523.92/754,204.35 = 304,822.16/x
  3. Step 3: Cross multiply
    546,523.92x = 754,204.35 × 304,822.16
  4. Step 4: Simplify right side
    546,523.92x = 229,898,195,277.37
  5. Step 5: Solve for x
    x = 229,898,195,277.37/546,523.92
  6. Step 6: Final answer
    x = 420,655.32

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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.