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Finding the Fourth Proportional to 564,400.54, 846,877.56 and 264,905.47

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Solution

The fourth proportional to 564,400.54, 846,877.56 and 264,905.47 is: 397,488.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,400.54 : 846,877.56 = 264,905.47 : x
  2. Step 2: Convert to fraction form
    564,400.54/846,877.56 = 264,905.47/x
  3. Step 3: Cross multiply
    564,400.54x = 846,877.56 × 264,905.47
  4. Step 4: Simplify right side
    564,400.54x = 224,342,498,064.25
  5. Step 5: Solve for x
    x = 224,342,498,064.25/564,400.54
  6. Step 6: Final answer
    x = 397,488.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.