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Finding the Fourth Proportional to 473,255.68, 652,997.76 and 301,242.88

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Solution

The fourth proportional to 473,255.68, 652,997.76 and 301,242.88 is: 415,654.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,255.68 : 652,997.76 = 301,242.88 : x
  2. Step 2: Convert to fraction form
    473,255.68/652,997.76 = 301,242.88/x
  3. Step 3: Cross multiply
    473,255.68x = 652,997.76 × 301,242.88
  4. Step 4: Simplify right side
    473,255.68x = 196,710,925,855.95
  5. Step 5: Solve for x
    x = 196,710,925,855.95/473,255.68
  6. Step 6: Final answer
    x = 415,654.65

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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.