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Finding the Fourth Proportional to 463,254.80, 693,715.80 and 442,259.60

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Solution

The fourth proportional to 463,254.80, 693,715.80 and 442,259.60 is: 662,275.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,254.80 : 693,715.80 = 442,259.60 : x
  2. Step 2: Convert to fraction form
    463,254.80/693,715.80 = 442,259.60/x
  3. Step 3: Cross multiply
    463,254.80x = 693,715.80 × 442,259.60
  4. Step 4: Simplify right side
    463,254.80x = 306,802,472,221.68
  5. Step 5: Solve for x
    x = 306,802,472,221.68/463,254.80
  6. Step 6: Final answer
    x = 662,275.86

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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.