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Finding the Fourth Proportional to 484,032.08, 726,117.24 and 151,634

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Solution

The fourth proportional to 484,032.08, 726,117.24 and 151,634 is: 227,472.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,032.08 : 726,117.24 = 151,634 : x
  2. Step 2: Convert to fraction form
    484,032.08/726,117.24 = 151,634/x
  3. Step 3: Cross multiply
    484,032.08x = 726,117.24 × 151,634
  4. Step 4: Simplify right side
    484,032.08x = 110,104,061,570.16
  5. Step 5: Solve for x
    x = 110,104,061,570.16/484,032.08
  6. Step 6: Final answer
    x = 227,472.65

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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.