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Finding the Fourth Proportional to 473,259.79, 653,098.14 and 258,399.85

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Solution

The fourth proportional to 473,259.79, 653,098.14 and 258,399.85 is: 356,591.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,259.79 : 653,098.14 = 258,399.85 : x
  2. Step 2: Convert to fraction form
    473,259.79/653,098.14 = 258,399.85/x
  3. Step 3: Cross multiply
    473,259.79x = 653,098.14 × 258,399.85
  4. Step 4: Simplify right side
    473,259.79x = 168,760,459,166.25
  5. Step 5: Solve for x
    x = 168,760,459,166.25/473,259.79
  6. Step 6: Final answer
    x = 356,591.59

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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.