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Finding the Fourth Proportional to 473,493.29, 653,434.56 and 258,636.74

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Solution

The fourth proportional to 473,493.29, 653,434.56 and 258,636.74 is: 356,926.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,493.29 : 653,434.56 = 258,636.74 : x
  2. Step 2: Convert to fraction form
    473,493.29/653,434.56 = 258,636.74/x
  3. Step 3: Cross multiply
    473,493.29x = 653,434.56 × 258,636.74
  4. Step 4: Simplify right side
    473,493.29x = 169,002,181,134.56
  5. Step 5: Solve for x
    x = 169,002,181,134.56/473,493.29
  6. Step 6: Final answer
    x = 356,926.25

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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.