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Finding the Fourth Proportional to 484,411.29, 726,666.47 and 185,143.76

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Solution

The fourth proportional to 484,411.29, 726,666.47 and 185,143.76 is: 277,734.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,411.29 : 726,666.47 = 185,143.76 : x
  2. Step 2: Convert to fraction form
    484,411.29/726,666.47 = 185,143.76/x
  3. Step 3: Cross multiply
    484,411.29x = 726,666.47 × 185,143.76
  4. Step 4: Simplify right side
    484,411.29x = 134,537,762,521.73
  5. Step 5: Solve for x
    x = 134,537,762,521.73/484,411.29
  6. Step 6: Final answer
    x = 277,734.57

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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.