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Finding the Fourth Proportional to 296,912.30, 445,368.45 and 86,557.10

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Solution

The fourth proportional to 296,912.30, 445,368.45 and 86,557.10 is: 129,835.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,912.30 : 445,368.45 = 86,557.10 : x
  2. Step 2: Convert to fraction form
    296,912.30/445,368.45 = 86,557.10/x
  3. Step 3: Cross multiply
    296,912.30x = 445,368.45 × 86,557.10
  4. Step 4: Simplify right side
    296,912.30x = 38,549,801,463.50
  5. Step 5: Solve for x
    x = 38,549,801,463.50/296,912.30
  6. Step 6: Final answer
    x = 129,835.65

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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.