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Finding the Fourth Proportional to 473,709.42, 653,711.15 and 258,844.91

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Solution

The fourth proportional to 473,709.42, 653,711.15 and 258,844.91 is: 357,201.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,709.42 : 653,711.15 = 258,844.91 : x
  2. Step 2: Convert to fraction form
    473,709.42/653,711.15 = 258,844.91/x
  3. Step 3: Cross multiply
    473,709.42x = 653,711.15 × 258,844.91
  4. Step 4: Simplify right side
    473,709.42x = 169,209,799,224.97
  5. Step 5: Solve for x
    x = 169,209,799,224.97/473,709.42
  6. Step 6: Final answer
    x = 357,201.68

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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.