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Finding the Fourth Proportional to 288,677.05, 398,361.78 and 157,852.30

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Solution

The fourth proportional to 288,677.05, 398,361.78 and 157,852.30 is: 217,829.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,677.05 : 398,361.78 = 157,852.30 : x
  2. Step 2: Convert to fraction form
    288,677.05/398,361.78 = 157,852.30/x
  3. Step 3: Cross multiply
    288,677.05x = 398,361.78 × 157,852.30
  4. Step 4: Simplify right side
    288,677.05x = 62,882,323,205.09
  5. Step 5: Solve for x
    x = 62,882,323,205.09/288,677.05
  6. Step 6: Final answer
    x = 217,829.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.