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Finding the Fourth Proportional to 473,403.38, 653,267.76 and 258,499.76

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Solution

The fourth proportional to 473,403.38, 653,267.76 and 258,499.76 is: 356,713.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,403.38 : 653,267.76 = 258,499.76 : x
  2. Step 2: Convert to fraction form
    473,403.38/653,267.76 = 258,499.76/x
  3. Step 3: Cross multiply
    473,403.38x = 653,267.76 × 258,499.76
  4. Step 4: Simplify right side
    473,403.38x = 168,869,559,175.74
  5. Step 5: Solve for x
    x = 168,869,559,175.74/473,403.38
  6. Step 6: Final answer
    x = 356,713.89

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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.