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Finding the Fourth Proportional to 458,427.60, 687,641.40 and 309,128.40

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Solution

The fourth proportional to 458,427.60, 687,641.40 and 309,128.40 is: 463,692.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,427.60 : 687,641.40 = 309,128.40 : x
  2. Step 2: Convert to fraction form
    458,427.60/687,641.40 = 309,128.40/x
  3. Step 3: Cross multiply
    458,427.60x = 687,641.40 × 309,128.40
  4. Step 4: Simplify right side
    458,427.60x = 212,569,485,755.76
  5. Step 5: Solve for x
    x = 212,569,485,755.76/458,427.60
  6. Step 6: Final answer
    x = 463,692.60

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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.