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Finding the Fourth Proportional to 784,756.96, 1,083,000.24 and 462,480.64

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Solution

The fourth proportional to 784,756.96, 1,083,000.24 and 462,480.64 is: 638,244.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,756.96 : 1,083,000.24 = 462,480.64 : x
  2. Step 2: Convert to fraction form
    784,756.96/1,083,000.24 = 462,480.64/x
  3. Step 3: Cross multiply
    784,756.96x = 1,083,000.24 × 462,480.64
  4. Step 4: Simplify right side
    784,756.96x = 500,866,644,115.35
  5. Step 5: Solve for x
    x = 500,866,644,115.35/784,756.96
  6. Step 6: Final answer
    x = 638,244.28

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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.