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Finding the Fourth Proportional to 430,663.28, 645,995.12 and 193,729.20

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Solution

The fourth proportional to 430,663.28, 645,995.12 and 193,729.20 is: 290,593.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,663.28 : 645,995.12 = 193,729.20 : x
  2. Step 2: Convert to fraction form
    430,663.28/645,995.12 = 193,729.20/x
  3. Step 3: Cross multiply
    430,663.28x = 645,995.12 × 193,729.20
  4. Step 4: Simplify right side
    430,663.28x = 125,148,117,801.50
  5. Step 5: Solve for x
    x = 125,148,117,801.50/430,663.28
  6. Step 6: Final answer
    x = 290,593.89

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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.