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Finding the Fourth Proportional to 289,715.08, 399,799.78 and 160,652.84

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Solution

The fourth proportional to 289,715.08, 399,799.78 and 160,652.84 is: 221,697.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,715.08 : 399,799.78 = 160,652.84 : x
  2. Step 2: Convert to fraction form
    289,715.08/399,799.78 = 160,652.84/x
  3. Step 3: Cross multiply
    289,715.08x = 399,799.78 × 160,652.84
  4. Step 4: Simplify right side
    289,715.08x = 64,228,970,088.38
  5. Step 5: Solve for x
    x = 64,228,970,088.38/289,715.08
  6. Step 6: Final answer
    x = 221,697.02

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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.