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Finding the Fourth Proportional to 447,332.60, 617,691.46 and 414,878.21

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Solution

The fourth proportional to 447,332.60, 617,691.46 and 414,878.21 is: 572,877.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,332.60 : 617,691.46 = 414,878.21 : x
  2. Step 2: Convert to fraction form
    447,332.60/617,691.46 = 414,878.21/x
  3. Step 3: Cross multiply
    447,332.60x = 617,691.46 × 414,878.21
  4. Step 4: Simplify right side
    447,332.60x = 256,266,722,866.35
  5. Step 5: Solve for x
    x = 256,266,722,866.35/447,332.60
  6. Step 6: Final answer
    x = 572,877.37

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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.