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Finding the Fourth Proportional to 632,496, 948,685.18 and 177,128.45

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Solution

The fourth proportional to 632,496, 948,685.18 and 177,128.45 is: 265,676.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,496 : 948,685.18 = 177,128.45 : x
  2. Step 2: Convert to fraction form
    632,496/948,685.18 = 177,128.45/x
  3. Step 3: Cross multiply
    632,496x = 948,685.18 × 177,128.45
  4. Step 4: Simplify right side
    632,496x = 168,039,135,471.37
  5. Step 5: Solve for x
    x = 168,039,135,471.37/632,496
  6. Step 6: Final answer
    x = 265,676.20

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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.