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Finding the Fourth Proportional to 283,042.46, 424,549.84 and 105,535.60

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Solution

The fourth proportional to 283,042.46, 424,549.84 and 105,535.60 is: 158,298.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,042.46 : 424,549.84 = 105,535.60 : x
  2. Step 2: Convert to fraction form
    283,042.46/424,549.84 = 105,535.60/x
  3. Step 3: Cross multiply
    283,042.46x = 424,549.84 × 105,535.60
  4. Step 4: Simplify right side
    283,042.46x = 44,805,122,094.30
  5. Step 5: Solve for x
    x = 44,805,122,094.30/283,042.46
  6. Step 6: Final answer
    x = 158,298.24

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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.