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Finding the Fourth Proportional to 297,213.36, 410,093.80 and 176,301.68

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Solution

The fourth proportional to 297,213.36, 410,093.80 and 176,301.68 is: 243,260.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,213.36 : 410,093.80 = 176,301.68 : x
  2. Step 2: Convert to fraction form
    297,213.36/410,093.80 = 176,301.68/x
  3. Step 3: Cross multiply
    297,213.36x = 410,093.80 × 176,301.68
  4. Step 4: Simplify right side
    297,213.36x = 72,300,225,897.58
  5. Step 5: Solve for x
    x = 72,300,225,897.58/297,213.36
  6. Step 6: Final answer
    x = 243,260.35

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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.