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Finding the Fourth Proportional to 499,921.29, 689,874.23 and 285,130.55

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Solution

The fourth proportional to 499,921.29, 689,874.23 and 285,130.55 is: 393,470.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,921.29 : 689,874.23 = 285,130.55 : x
  2. Step 2: Convert to fraction form
    499,921.29/689,874.23 = 285,130.55/x
  3. Step 3: Cross multiply
    499,921.29x = 689,874.23 × 285,130.55
  4. Step 4: Simplify right side
    499,921.29x = 196,704,221,068.24
  5. Step 5: Solve for x
    x = 196,704,221,068.24/499,921.29
  6. Step 6: Final answer
    x = 393,470.38

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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.