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Finding the Fourth Proportional to 484,053, 726,117.84 and 147,122.88

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Solution

The fourth proportional to 484,053, 726,117.84 and 147,122.88 is: 220,695.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,053 : 726,117.84 = 147,122.88 : x
  2. Step 2: Convert to fraction form
    484,053/726,117.84 = 147,122.88/x
  3. Step 3: Cross multiply
    484,053x = 726,117.84 × 147,122.88
  4. Step 4: Simplify right side
    484,053x = 106,828,547,840.18
  5. Step 5: Solve for x
    x = 106,828,547,840.18/484,053
  6. Step 6: Final answer
    x = 220,695.97

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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.