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Finding the Fourth Proportional to 463,444.80, 695,179.28 and 147,901.28

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Solution

The fourth proportional to 463,444.80, 695,179.28 and 147,901.28 is: 221,855.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,444.80 : 695,179.28 = 147,901.28 : x
  2. Step 2: Convert to fraction form
    463,444.80/695,179.28 = 147,901.28/x
  3. Step 3: Cross multiply
    463,444.80x = 695,179.28 × 147,901.28
  4. Step 4: Simplify right side
    463,444.80x = 102,817,905,341.48
  5. Step 5: Solve for x
    x = 102,817,905,341.48/463,444.80
  6. Step 6: Final answer
    x = 221,855.78

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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.