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Finding the Fourth Proportional to 474,694.59, 711,965.13 and 175,316.16

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Solution

The fourth proportional to 474,694.59, 711,965.13 and 175,316.16 is: 262,945.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,694.59 : 711,965.13 = 175,316.16 : x
  2. Step 2: Convert to fraction form
    474,694.59/711,965.13 = 175,316.16/x
  3. Step 3: Cross multiply
    474,694.59x = 711,965.13 × 175,316.16
  4. Step 4: Simplify right side
    474,694.59x = 124,818,991,639.28
  5. Step 5: Solve for x
    x = 124,818,991,639.28/474,694.59
  6. Step 6: Final answer
    x = 262,945.89

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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.