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Finding the Fourth Proportional to 688,588.82, 950,177.11 and 398,156.43

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Solution

The fourth proportional to 688,588.82, 950,177.11 and 398,156.43 is: 549,412.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,588.82 : 950,177.11 = 398,156.43 : x
  2. Step 2: Convert to fraction form
    688,588.82/950,177.11 = 398,156.43/x
  3. Step 3: Cross multiply
    688,588.82x = 950,177.11 × 398,156.43
  4. Step 4: Simplify right side
    688,588.82x = 378,319,126,483.01
  5. Step 5: Solve for x
    x = 378,319,126,483.01/688,588.82
  6. Step 6: Final answer
    x = 549,412.24

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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.