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Finding the Fourth Proportional to 416,759.96, 621,479.54 and 412,970.78

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Solution

The fourth proportional to 416,759.96, 621,479.54 and 412,970.78 is: 615,829.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,759.96 : 621,479.54 = 412,970.78 : x
  2. Step 2: Convert to fraction form
    416,759.96/621,479.54 = 412,970.78/x
  3. Step 3: Cross multiply
    416,759.96x = 621,479.54 × 412,970.78
  4. Step 4: Simplify right side
    416,759.96x = 256,652,890,387.84
  5. Step 5: Solve for x
    x = 256,652,890,387.84/416,759.96
  6. Step 6: Final answer
    x = 615,829.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.