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Finding the Fourth Proportional to 438,437.60, 657,656.40 and 413,943.20

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Solution

The fourth proportional to 438,437.60, 657,656.40 and 413,943.20 is: 620,914.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,437.60 : 657,656.40 = 413,943.20 : x
  2. Step 2: Convert to fraction form
    438,437.60/657,656.40 = 413,943.20/x
  3. Step 3: Cross multiply
    438,437.60x = 657,656.40 × 413,943.20
  4. Step 4: Simplify right side
    438,437.60x = 272,232,394,716.48
  5. Step 5: Solve for x
    x = 272,232,394,716.48/438,437.60
  6. Step 6: Final answer
    x = 620,914.80

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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.