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Finding the Fourth Proportional to 463,947.20, 648,126.40 and 463,947.20

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Solution

The fourth proportional to 463,947.20, 648,126.40 and 463,947.20 is: 648,126.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,947.20 : 648,126.40 = 463,947.20 : x
  2. Step 2: Convert to fraction form
    463,947.20/648,126.40 = 463,947.20/x
  3. Step 3: Cross multiply
    463,947.20x = 648,126.40 × 463,947.20
  4. Step 4: Simplify right side
    463,947.20x = 300,696,428,526.08
  5. Step 5: Solve for x
    x = 300,696,428,526.08/463,947.20
  6. Step 6: Final answer
    x = 648,126.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.