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Finding the Fourth Proportional to 437,765.40, 656,648.10 and 171,437.40

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Solution

The fourth proportional to 437,765.40, 656,648.10 and 171,437.40 is: 257,156.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,765.40 : 656,648.10 = 171,437.40 : x
  2. Step 2: Convert to fraction form
    437,765.40/656,648.10 = 171,437.40/x
  3. Step 3: Cross multiply
    437,765.40x = 656,648.10 × 171,437.40
  4. Step 4: Simplify right side
    437,765.40x = 112,574,042,978.94
  5. Step 5: Solve for x
    x = 112,574,042,978.94/437,765.40
  6. Step 6: Final answer
    x = 257,156.10

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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.