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Finding the Fourth Proportional to 564,834.52, 779,467.62 and 310,180.60

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Solution

The fourth proportional to 564,834.52, 779,467.62 and 310,180.60 is: 428,047.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,834.52 : 779,467.62 = 310,180.60 : x
  2. Step 2: Convert to fraction form
    564,834.52/779,467.62 = 310,180.60/x
  3. Step 3: Cross multiply
    564,834.52x = 779,467.62 × 310,180.60
  4. Step 4: Simplify right side
    564,834.52x = 241,775,734,052.17
  5. Step 5: Solve for x
    x = 241,775,734,052.17/564,834.52
  6. Step 6: Final answer
    x = 428,047.02

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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.