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Finding the Fourth Proportional to 514,060.16, 771,274.71 and 229,726.89

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Solution

The fourth proportional to 514,060.16, 771,274.71 and 229,726.89 is: 344,672.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,060.16 : 771,274.71 = 229,726.89 : x
  2. Step 2: Convert to fraction form
    514,060.16/771,274.71 = 229,726.89/x
  3. Step 3: Cross multiply
    514,060.16x = 771,274.71 × 229,726.89
  4. Step 4: Simplify right side
    514,060.16x = 177,182,540,463.95
  5. Step 5: Solve for x
    x = 177,182,540,463.95/514,060.16
  6. Step 6: Final answer
    x = 344,672.78

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1.5x scale

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.