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Finding the Fourth Proportional to 410,068.08, 565,881.12 and 240,415.20

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Solution

The fourth proportional to 410,068.08, 565,881.12 and 240,415.20 is: 331,765.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,068.08 : 565,881.12 = 240,415.20 : x
  2. Step 2: Convert to fraction form
    410,068.08/565,881.12 = 240,415.20/x
  3. Step 3: Cross multiply
    410,068.08x = 565,881.12 × 240,415.20
  4. Step 4: Simplify right side
    410,068.08x = 136,046,422,641.02
  5. Step 5: Solve for x
    x = 136,046,422,641.02/410,068.08
  6. Step 6: Final answer
    x = 331,765.45

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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.