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Finding the Fourth Proportional to 473,257.68, 653,000.52 and 301,244.88

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Solution

The fourth proportional to 473,257.68, 653,000.52 and 301,244.88 is: 415,657.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,257.68 : 653,000.52 = 301,244.88 : x
  2. Step 2: Convert to fraction form
    473,257.68/653,000.52 = 301,244.88/x
  3. Step 3: Cross multiply
    473,257.68x = 653,000.52 × 301,244.88
  4. Step 4: Simplify right side
    473,257.68x = 196,713,063,287.34
  5. Step 5: Solve for x
    x = 196,713,063,287.34/473,257.68
  6. Step 6: Final answer
    x = 415,657.41

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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.