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Finding the Fourth Proportional to 476,471.34, 714,726.45 and 121,494.57

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Solution

The fourth proportional to 476,471.34, 714,726.45 and 121,494.57 is: 182,246.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,471.34 : 714,726.45 = 121,494.57 : x
  2. Step 2: Convert to fraction form
    476,471.34/714,726.45 = 121,494.57/x
  3. Step 3: Cross multiply
    476,471.34x = 714,726.45 × 121,494.57
  4. Step 4: Simplify right side
    476,471.34x = 86,835,382,710.38
  5. Step 5: Solve for x
    x = 86,835,382,710.38/476,471.34
  6. Step 6: Final answer
    x = 182,246.81

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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.