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Finding the Fourth Proportional to 288,314.40, 432,471.60 and 148,346.40

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Solution

The fourth proportional to 288,314.40, 432,471.60 and 148,346.40 is: 222,519.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,314.40 : 432,471.60 = 148,346.40 : x
  2. Step 2: Convert to fraction form
    288,314.40/432,471.60 = 148,346.40/x
  3. Step 3: Cross multiply
    288,314.40x = 432,471.60 × 148,346.40
  4. Step 4: Simplify right side
    288,314.40x = 64,155,604,962.24
  5. Step 5: Solve for x
    x = 64,155,604,962.24/288,314.40
  6. Step 6: Final answer
    x = 222,519.60

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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.