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Finding the Fourth Proportional to 656,597.30, 984,213.10 and 277,201.40

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Solution

The fourth proportional to 656,597.30, 984,213.10 and 277,201.40 is: 415,513.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,597.30 : 984,213.10 = 277,201.40 : x
  2. Step 2: Convert to fraction form
    656,597.30/984,213.10 = 277,201.40/x
  3. Step 3: Cross multiply
    656,597.30x = 984,213.10 × 277,201.40
  4. Step 4: Simplify right side
    656,597.30x = 272,825,249,218.34
  5. Step 5: Solve for x
    x = 272,825,249,218.34/656,597.30
  6. Step 6: Final answer
    x = 415,513.82

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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.