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Finding the Fourth Proportional to 598,714.50, 826,227.09 and 330,442.50

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Solution

The fourth proportional to 598,714.50, 826,227.09 and 330,442.50 is: 456,011.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,714.50 : 826,227.09 = 330,442.50 : x
  2. Step 2: Convert to fraction form
    598,714.50/826,227.09 = 330,442.50/x
  3. Step 3: Cross multiply
    598,714.50x = 826,227.09 × 330,442.50
  4. Step 4: Simplify right side
    598,714.50x = 273,020,545,187.33
  5. Step 5: Solve for x
    x = 273,020,545,187.33/598,714.50
  6. Step 6: Final answer
    x = 456,011.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.