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Finding the Fourth Proportional to 458,627.40, 687,357.90 and 221,459.40

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Solution

The fourth proportional to 458,627.40, 687,357.90 and 221,459.40 is: 331,907.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,627.40 : 687,357.90 = 221,459.40 : x
  2. Step 2: Convert to fraction form
    458,627.40/687,357.90 = 221,459.40/x
  3. Step 3: Cross multiply
    458,627.40x = 687,357.90 × 221,459.40
  4. Step 4: Simplify right side
    458,627.40x = 152,221,868,119.26
  5. Step 5: Solve for x
    x = 152,221,868,119.26/458,627.40
  6. Step 6: Final answer
    x = 331,907.49

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