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Finding the Fourth Proportional to 298,765.28, 412,266.56 and 176,255.07

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Solution

The fourth proportional to 298,765.28, 412,266.56 and 176,255.07 is: 243,214.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,765.28 : 412,266.56 = 176,255.07 : x
  2. Step 2: Convert to fraction form
    298,765.28/412,266.56 = 176,255.07/x
  3. Step 3: Cross multiply
    298,765.28x = 412,266.56 × 176,255.07
  4. Step 4: Simplify right side
    298,765.28x = 72,664,070,510.18
  5. Step 5: Solve for x
    x = 72,664,070,510.18/298,765.28
  6. Step 6: Final answer
    x = 243,214.58

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1.5x scale

Why These Related Problems?

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