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Finding the Fourth Proportional to 471,988.98, 707,558.34 and 172,259.24

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Solution

The fourth proportional to 471,988.98, 707,558.34 and 172,259.24 is: 258,233.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,988.98 : 707,558.34 = 172,259.24 : x
  2. Step 2: Convert to fraction form
    471,988.98/707,558.34 = 172,259.24/x
  3. Step 3: Cross multiply
    471,988.98x = 707,558.34 × 172,259.24
  4. Step 4: Simplify right side
    471,988.98x = 121,883,461,904.06
  5. Step 5: Solve for x
    x = 121,883,461,904.06/471,988.98
  6. Step 6: Final answer
    x = 258,233.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.