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Finding the Fourth Proportional to 410,038.32, 565,851.88 and 231,189.04

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Solution

The fourth proportional to 410,038.32, 565,851.88 and 231,189.04 is: 319,040.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,038.32 : 565,851.88 = 231,189.04 : x
  2. Step 2: Convert to fraction form
    410,038.32/565,851.88 = 231,189.04/x
  3. Step 3: Cross multiply
    410,038.32x = 565,851.88 × 231,189.04
  4. Step 4: Simplify right side
    410,038.32x = 130,818,752,919.40
  5. Step 5: Solve for x
    x = 130,818,752,919.40/410,038.32
  6. Step 6: Final answer
    x = 319,040.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.