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Finding the Fourth Proportional to 470,951.24, 706,451.29 and 155,432.75

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Solution

The fourth proportional to 470,951.24, 706,451.29 and 155,432.75 is: 233,157.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,951.24 : 706,451.29 = 155,432.75 : x
  2. Step 2: Convert to fraction form
    470,951.24/706,451.29 = 155,432.75/x
  3. Step 3: Cross multiply
    470,951.24x = 706,451.29 × 155,432.75
  4. Step 4: Simplify right side
    470,951.24x = 109,805,662,824.91
  5. Step 5: Solve for x
    x = 109,805,662,824.91/470,951.24
  6. Step 6: Final answer
    x = 233,157.18

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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.