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Finding the Fourth Proportional to 296,165.82, 444,248.40 and 96,485.92

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Solution

The fourth proportional to 296,165.82, 444,248.40 and 96,485.92 is: 144,728.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,165.82 : 444,248.40 = 96,485.92 : x
  2. Step 2: Convert to fraction form
    296,165.82/444,248.40 = 96,485.92/x
  3. Step 3: Cross multiply
    296,165.82x = 444,248.40 × 96,485.92
  4. Step 4: Simplify right side
    296,165.82x = 42,863,715,582.53
  5. Step 5: Solve for x
    x = 42,863,715,582.53/296,165.82
  6. Step 6: Final answer
    x = 144,728.77

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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.