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Finding the Fourth Proportional to 458,137.80, 687,206.70 and 205,417.80

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Solution

The fourth proportional to 458,137.80, 687,206.70 and 205,417.80 is: 308,126.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,137.80 : 687,206.70 = 205,417.80 : x
  2. Step 2: Convert to fraction form
    458,137.80/687,206.70 = 205,417.80/x
  3. Step 3: Cross multiply
    458,137.80x = 687,206.70 × 205,417.80
  4. Step 4: Simplify right side
    458,137.80x = 141,164,488,459.26
  5. Step 5: Solve for x
    x = 141,164,488,459.26/458,137.80
  6. Step 6: Final answer
    x = 308,126.70

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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.