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Finding the Fourth Proportional to 563,478.48, 846,270.72 and 496,034.64

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Solution

The fourth proportional to 563,478.48, 846,270.72 and 496,034.64 is: 744,978.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,478.48 : 846,270.72 = 496,034.64 : x
  2. Step 2: Convert to fraction form
    563,478.48/846,270.72 = 496,034.64/x
  3. Step 3: Cross multiply
    563,478.48x = 846,270.72 × 496,034.64
  4. Step 4: Simplify right side
    563,478.48x = 419,779,591,937.74
  5. Step 5: Solve for x
    x = 419,779,591,937.74/563,478.48
  6. Step 6: Final answer
    x = 744,978.92

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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.