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Finding the Fourth Proportional to 438,432.40, 657,454.20 and 201,653.20

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Solution

The fourth proportional to 438,432.40, 657,454.20 and 201,653.20 is: 302,390.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,432.40 : 657,454.20 = 201,653.20 : x
  2. Step 2: Convert to fraction form
    438,432.40/657,454.20 = 201,653.20/x
  3. Step 3: Cross multiply
    438,432.40x = 657,454.20 × 201,653.20
  4. Step 4: Simplify right side
    438,432.40x = 132,577,743,283.44
  5. Step 5: Solve for x
    x = 132,577,743,283.44/438,432.40
  6. Step 6: Final answer
    x = 302,390.39

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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.