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Finding the Fourth Proportional to 287,928.80, 431,342.40 and 154,764.80

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Solution

The fourth proportional to 287,928.80, 431,342.40 and 154,764.80 is: 231,851.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,928.80 : 431,342.40 = 154,764.80 : x
  2. Step 2: Convert to fraction form
    287,928.80/431,342.40 = 154,764.80/x
  3. Step 3: Cross multiply
    287,928.80x = 431,342.40 × 154,764.80
  4. Step 4: Simplify right side
    287,928.80x = 66,756,620,267.52
  5. Step 5: Solve for x
    x = 66,756,620,267.52/287,928.80
  6. Step 6: Final answer
    x = 231,851.14

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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.