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Finding the Fourth Proportional to 510,687.44, 766,152.48 and 257,345.36

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Solution

The fourth proportional to 510,687.44, 766,152.48 and 257,345.36 is: 386,079.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,687.44 : 766,152.48 = 257,345.36 : x
  2. Step 2: Convert to fraction form
    510,687.44/766,152.48 = 257,345.36/x
  3. Step 3: Cross multiply
    510,687.44x = 766,152.48 × 257,345.36
  4. Step 4: Simplify right side
    510,687.44x = 197,165,785,780.49
  5. Step 5: Solve for x
    x = 197,165,785,780.49/510,687.44
  6. Step 6: Final answer
    x = 386,079.18

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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.