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Finding the Fourth Proportional to 546,421.68, 754,016.04 and 304,685.28

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Solution

The fourth proportional to 546,421.68, 754,016.04 and 304,685.28 is: 420,440.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,421.68 : 754,016.04 = 304,685.28 : x
  2. Step 2: Convert to fraction form
    546,421.68/754,016.04 = 304,685.28/x
  3. Step 3: Cross multiply
    546,421.68x = 754,016.04 × 304,685.28
  4. Step 4: Simplify right side
    546,421.68x = 229,737,588,271.89
  5. Step 5: Solve for x
    x = 229,737,588,271.89/546,421.68
  6. Step 6: Final answer
    x = 420,440.10

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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.