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Finding the Fourth Proportional to 288,824.40, 433,382.40 and 130,952.16

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Solution

The fourth proportional to 288,824.40, 433,382.40 and 130,952.16 is: 196,494.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,824.40 : 433,382.40 = 130,952.16 : x
  2. Step 2: Convert to fraction form
    288,824.40/433,382.40 = 130,952.16/x
  3. Step 3: Cross multiply
    288,824.40x = 433,382.40 × 130,952.16
  4. Step 4: Simplify right side
    288,824.40x = 56,752,361,385.98
  5. Step 5: Solve for x
    x = 56,752,361,385.98/288,824.40
  6. Step 6: Final answer
    x = 196,494.35

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1.5x scale

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.