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Finding the Fourth Proportional to 297,514.64, 410,512.43 and 176,693.83

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Solution

The fourth proportional to 297,514.64, 410,512.43 and 176,693.83 is: 243,803.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,514.64 : 410,512.43 = 176,693.83 : x
  2. Step 2: Convert to fraction form
    297,514.64/410,512.43 = 176,693.83/x
  3. Step 3: Cross multiply
    297,514.64x = 410,512.43 × 176,693.83
  4. Step 4: Simplify right side
    297,514.64x = 72,535,012,934.76
  5. Step 5: Solve for x
    x = 72,535,012,934.76/297,514.64
  6. Step 6: Final answer
    x = 243,803.17

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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.