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Finding the Fourth Proportional to 649,644.20, 974,465.82 and 176,399

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Solution

The fourth proportional to 649,644.20, 974,465.82 and 176,399 is: 264,598.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,644.20 : 974,465.82 = 176,399 : x
  2. Step 2: Convert to fraction form
    649,644.20/974,465.82 = 176,399/x
  3. Step 3: Cross multiply
    649,644.20x = 974,465.82 × 176,399
  4. Step 4: Simplify right side
    649,644.20x = 171,894,796,182.18
  5. Step 5: Solve for x
    x = 171,894,796,182.18/649,644.20
  6. Step 6: Final answer
    x = 264,598.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.