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Finding the Fourth Proportional to 291,438.32, 402,205.66 and 162,387.52

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Solution

The fourth proportional to 291,438.32, 402,205.66 and 162,387.52 is: 224,106.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,438.32 : 402,205.66 = 162,387.52 : x
  2. Step 2: Convert to fraction form
    291,438.32/402,205.66 = 162,387.52/x
  3. Step 3: Cross multiply
    291,438.32x = 402,205.66 × 162,387.52
  4. Step 4: Simplify right side
    291,438.32x = 65,313,179,657.36
  5. Step 5: Solve for x
    x = 65,313,179,657.36/291,438.32
  6. Step 6: Final answer
    x = 224,106.36

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