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Finding the Fourth Proportional to 316,077.40, 474,116.10 and 209,789.20

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Solution

The fourth proportional to 316,077.40, 474,116.10 and 209,789.20 is: 314,683.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,077.40 : 474,116.10 = 209,789.20 : x
  2. Step 2: Convert to fraction form
    316,077.40/474,116.10 = 209,789.20/x
  3. Step 3: Cross multiply
    316,077.40x = 474,116.10 × 209,789.20
  4. Step 4: Simplify right side
    316,077.40x = 99,464,437,326.12
  5. Step 5: Solve for x
    x = 99,464,437,326.12/316,077.40
  6. Step 6: Final answer
    x = 314,683.80

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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.