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Finding the Fourth Proportional to 297,101.40, 410,159.28 and 229,468.44

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Solution

The fourth proportional to 297,101.40, 410,159.28 and 229,468.44 is: 316,789.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,101.40 : 410,159.28 = 229,468.44 : x
  2. Step 2: Convert to fraction form
    297,101.40/410,159.28 = 229,468.44/x
  3. Step 3: Cross multiply
    297,101.40x = 410,159.28 × 229,468.44
  4. Step 4: Simplify right side
    297,101.40x = 94,118,610,133.12
  5. Step 5: Solve for x
    x = 94,118,610,133.12/297,101.40
  6. Step 6: Final answer
    x = 316,789.52

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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.