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Finding the Fourth Proportional to 470,953.80, 706,331.88 and 155,336.76

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Solution

The fourth proportional to 470,953.80, 706,331.88 and 155,336.76 is: 232,972.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,953.80 : 706,331.88 = 155,336.76 : x
  2. Step 2: Convert to fraction form
    470,953.80/706,331.88 = 155,336.76/x
  3. Step 3: Cross multiply
    470,953.80x = 706,331.88 × 155,336.76
  4. Step 4: Simplify right side
    470,953.80x = 109,719,305,723.91
  5. Step 5: Solve for x
    x = 109,719,305,723.91/470,953.80
  6. Step 6: Final answer
    x = 232,972.55

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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.