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Finding the Fourth Proportional to 470,964.36, 706,470.98 and 155,445.87

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Solution

The fourth proportional to 470,964.36, 706,470.98 and 155,445.87 is: 233,176.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,964.36 : 706,470.98 = 155,445.87 : x
  2. Step 2: Convert to fraction form
    470,964.36/706,470.98 = 155,445.87/x
  3. Step 3: Cross multiply
    470,964.36x = 706,470.98 × 155,445.87
  4. Step 4: Simplify right side
    470,964.36x = 109,817,995,338.62
  5. Step 5: Solve for x
    x = 109,817,995,338.62/470,964.36
  6. Step 6: Final answer
    x = 233,176.87

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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.