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Finding the Fourth Proportional to 463,444.47, 695,178.86 and 147,901.14

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Solution

The fourth proportional to 463,444.47, 695,178.86 and 147,901.14 is: 221,855.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,444.47 : 695,178.86 = 147,901.14 : x
  2. Step 2: Convert to fraction form
    463,444.47/695,178.86 = 147,901.14/x
  3. Step 3: Cross multiply
    463,444.47x = 695,178.86 × 147,901.14
  4. Step 4: Simplify right side
    463,444.47x = 102,817,745,158.40
  5. Step 5: Solve for x
    x = 102,817,745,158.40/463,444.47
  6. Step 6: Final answer
    x = 221,855.59

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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.