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Finding the Fourth Proportional to 657,947.60, 986,921.40 and 421,751.60

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Solution

The fourth proportional to 657,947.60, 986,921.40 and 421,751.60 is: 632,627.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,947.60 : 986,921.40 = 421,751.60 : x
  2. Step 2: Convert to fraction form
    657,947.60/986,921.40 = 421,751.60/x
  3. Step 3: Cross multiply
    657,947.60x = 986,921.40 × 421,751.60
  4. Step 4: Simplify right side
    657,947.60x = 416,235,679,524.24
  5. Step 5: Solve for x
    x = 416,235,679,524.24/657,947.60
  6. Step 6: Final answer
    x = 632,627.40

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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.