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Finding the Fourth Proportional to 567,200.80, 849,764.40 and 461,447.20

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Solution

The fourth proportional to 567,200.80, 849,764.40 and 461,447.20 is: 691,327.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,200.80 : 849,764.40 = 461,447.20 : x
  2. Step 2: Convert to fraction form
    567,200.80/849,764.40 = 461,447.20/x
  3. Step 3: Cross multiply
    567,200.80x = 849,764.40 × 461,447.20
  4. Step 4: Simplify right side
    567,200.80x = 392,121,403,039.68
  5. Step 5: Solve for x
    x = 392,121,403,039.68/567,200.80
  6. Step 6: Final answer
    x = 691,327.31

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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.