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Finding the Fourth Proportional to 546,209.92, 753,814.56 and 301,242.59

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Solution

The fourth proportional to 546,209.92, 753,814.56 and 301,242.59 is: 415,739.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,209.92 : 753,814.56 = 301,242.59 : x
  2. Step 2: Convert to fraction form
    546,209.92/753,814.56 = 301,242.59/x
  3. Step 3: Cross multiply
    546,209.92x = 753,814.56 × 301,242.59
  4. Step 4: Simplify right side
    546,209.92x = 227,081,050,434.11
  5. Step 5: Solve for x
    x = 227,081,050,434.11/546,209.92
  6. Step 6: Final answer
    x = 415,739.52

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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.