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Finding the Fourth Proportional to 438,427.60, 657,641.40 and 202,231.60

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Solution

The fourth proportional to 438,427.60, 657,641.40 and 202,231.60 is: 303,347.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,427.60 : 657,641.40 = 202,231.60 : x
  2. Step 2: Convert to fraction form
    438,427.60/657,641.40 = 202,231.60/x
  3. Step 3: Cross multiply
    438,427.60x = 657,641.40 × 202,231.60
  4. Step 4: Simplify right side
    438,427.60x = 132,995,872,548.24
  5. Step 5: Solve for x
    x = 132,995,872,548.24/438,427.60
  6. Step 6: Final answer
    x = 303,347.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.