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Finding the Fourth Proportional to 473,133.96, 652,937.22 and 258,293.88

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Solution

The fourth proportional to 473,133.96, 652,937.22 and 258,293.88 is: 356,452.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,133.96 : 652,937.22 = 258,293.88 : x
  2. Step 2: Convert to fraction form
    473,133.96/652,937.22 = 258,293.88/x
  3. Step 3: Cross multiply
    473,133.96x = 652,937.22 × 258,293.88
  4. Step 4: Simplify right side
    473,133.96x = 168,649,687,950.21
  5. Step 5: Solve for x
    x = 168,649,687,950.21/473,133.96
  6. Step 6: Final answer
    x = 356,452.30

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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.