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Finding the Fourth Proportional to 546,769.14, 754,050.26 and 342,842.32

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Solution

The fourth proportional to 546,769.14, 754,050.26 and 342,842.32 is: 472,814.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,769.14 : 754,050.26 = 342,842.32 : x
  2. Step 2: Convert to fraction form
    546,769.14/754,050.26 = 342,842.32/x
  3. Step 3: Cross multiply
    546,769.14x = 754,050.26 × 342,842.32
  4. Step 4: Simplify right side
    546,769.14x = 258,520,342,334.67
  5. Step 5: Solve for x
    x = 258,520,342,334.67/546,769.14
  6. Step 6: Final answer
    x = 472,814.44

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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.