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Finding the Fourth Proportional to 476,261.72, 713,432.88 and 316,427.66

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Solution

The fourth proportional to 476,261.72, 713,432.88 and 316,427.66 is: 474,003.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,261.72 : 713,432.88 = 316,427.66 : x
  2. Step 2: Convert to fraction form
    476,261.72/713,432.88 = 316,427.66/x
  3. Step 3: Cross multiply
    476,261.72x = 713,432.88 × 316,427.66
  4. Step 4: Simplify right side
    476,261.72x = 225,749,896,785.46
  5. Step 5: Solve for x
    x = 225,749,896,785.46/476,261.72
  6. Step 6: Final answer
    x = 474,003.87

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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.