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Finding the Fourth Proportional to 438,785.40, 657,983.70 and 202,200.60

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Solution

The fourth proportional to 438,785.40, 657,983.70 and 202,200.60 is: 303,211.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,785.40 : 657,983.70 = 202,200.60 : x
  2. Step 2: Convert to fraction form
    438,785.40/657,983.70 = 202,200.60/x
  3. Step 3: Cross multiply
    438,785.40x = 657,983.70 × 202,200.60
  4. Step 4: Simplify right side
    438,785.40x = 133,044,698,930.22
  5. Step 5: Solve for x
    x = 133,044,698,930.22/438,785.40
  6. Step 6: Final answer
    x = 303,211.32

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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.