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Finding the Fourth Proportional to 476,409.31, 714,463.40 and 156,508.65

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Solution

The fourth proportional to 476,409.31, 714,463.40 and 156,508.65 is: 234,713.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,409.31 : 714,463.40 = 156,508.65 : x
  2. Step 2: Convert to fraction form
    476,409.31/714,463.40 = 156,508.65/x
  3. Step 3: Cross multiply
    476,409.31x = 714,463.40 × 156,508.65
  4. Step 4: Simplify right side
    476,409.31x = 111,819,702,599.68
  5. Step 5: Solve for x
    x = 111,819,702,599.68/476,409.31
  6. Step 6: Final answer
    x = 234,713.51

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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.