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Finding the Fourth Proportional to 565,253.38, 780,040.80 and 310,599.10

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Solution

The fourth proportional to 565,253.38, 780,040.80 and 310,599.10 is: 428,621.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,253.38 : 780,040.80 = 310,599.10 : x
  2. Step 2: Convert to fraction form
    565,253.38/780,040.80 = 310,599.10/x
  3. Step 3: Cross multiply
    565,253.38x = 780,040.80 × 310,599.10
  4. Step 4: Simplify right side
    565,253.38x = 242,279,970,443.28
  5. Step 5: Solve for x
    x = 242,279,970,443.28/565,253.38
  6. Step 6: Final answer
    x = 428,621.89

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Why These Related Problems?

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