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Finding the Fourth Proportional to 297,298.78, 410,244.96 and 176,419.24

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Solution

The fourth proportional to 297,298.78, 410,244.96 and 176,419.24 is: 243,442.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,298.78 : 410,244.96 = 176,419.24 : x
  2. Step 2: Convert to fraction form
    297,298.78/410,244.96 = 176,419.24/x
  3. Step 3: Cross multiply
    297,298.78x = 410,244.96 × 176,419.24
  4. Step 4: Simplify right side
    297,298.78x = 72,375,104,057.03
  5. Step 5: Solve for x
    x = 72,375,104,057.03/297,298.78
  6. Step 6: Final answer
    x = 243,442.32

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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.