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Finding the Fourth Proportional to 259,573.50, 357,886.89 and 216,614.88

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Solution

The fourth proportional to 259,573.50, 357,886.89 and 216,614.88 is: 298,657.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,573.50 : 357,886.89 = 216,614.88 : x
  2. Step 2: Convert to fraction form
    259,573.50/357,886.89 = 216,614.88/x
  3. Step 3: Cross multiply
    259,573.50x = 357,886.89 × 216,614.88
  4. Step 4: Simplify right side
    259,573.50x = 77,523,625,730.92
  5. Step 5: Solve for x
    x = 77,523,625,730.92/259,573.50
  6. Step 6: Final answer
    x = 298,657.70

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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.