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Finding the Fourth Proportional to 546,269.89, 754,328.45 and 342,670.78

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Solution

The fourth proportional to 546,269.89, 754,328.45 and 342,670.78 is: 473,184.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,269.89 : 754,328.45 = 342,670.78 : x
  2. Step 2: Convert to fraction form
    546,269.89/754,328.45 = 342,670.78/x
  3. Step 3: Cross multiply
    546,269.89x = 754,328.45 × 342,670.78
  4. Step 4: Simplify right side
    546,269.89x = 258,486,318,337.69
  5. Step 5: Solve for x
    x = 258,486,318,337.69/546,269.89
  6. Step 6: Final answer
    x = 473,184.27

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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.