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Finding the Fourth Proportional to 435,598.46, 653,422.26 and 155,115.74

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Solution

The fourth proportional to 435,598.46, 653,422.26 and 155,115.74 is: 232,682.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,598.46 : 653,422.26 = 155,115.74 : x
  2. Step 2: Convert to fraction form
    435,598.46/653,422.26 = 155,115.74/x
  3. Step 3: Cross multiply
    435,598.46x = 653,422.26 × 155,115.74
  4. Step 4: Simplify right side
    435,598.46x = 101,356,077,392.37
  5. Step 5: Solve for x
    x = 101,356,077,392.37/435,598.46
  6. Step 6: Final answer
    x = 232,682.36

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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.