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Finding the Fourth Proportional to 288,340.32, 432,463.52 and 101,308.16

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Solution

The fourth proportional to 288,340.32, 432,463.52 and 101,308.16 is: 151,945.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,340.32 : 432,463.52 = 101,308.16 : x
  2. Step 2: Convert to fraction form
    288,340.32/432,463.52 = 101,308.16/x
  3. Step 3: Cross multiply
    288,340.32x = 432,463.52 × 101,308.16
  4. Step 4: Simplify right side
    288,340.32x = 43,812,083,478.32
  5. Step 5: Solve for x
    x = 43,812,083,478.32/288,340.32
  6. Step 6: Final answer
    x = 151,945.74

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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.