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Finding the Fourth Proportional to 288,830.30, 433,245.45 and 148,862.30

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Solution

The fourth proportional to 288,830.30, 433,245.45 and 148,862.30 is: 223,293.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,830.30 : 433,245.45 = 148,862.30 : x
  2. Step 2: Convert to fraction form
    288,830.30/433,245.45 = 148,862.30/x
  3. Step 3: Cross multiply
    288,830.30x = 433,245.45 × 148,862.30
  4. Step 4: Simplify right side
    288,830.30x = 64,493,914,151.54
  5. Step 5: Solve for x
    x = 64,493,914,151.54/288,830.30
  6. Step 6: Final answer
    x = 223,293.45

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Similar ratio
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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.