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Finding the Fourth Proportional to 377,882.16, 565,598.52 and 278,021.04

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Solution

The fourth proportional to 377,882.16, 565,598.52 and 278,021.04 is: 416,130.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,882.16 : 565,598.52 = 278,021.04 : x
  2. Step 2: Convert to fraction form
    377,882.16/565,598.52 = 278,021.04/x
  3. Step 3: Cross multiply
    377,882.16x = 565,598.52 × 278,021.04
  4. Step 4: Simplify right side
    377,882.16x = 157,248,288,752.86
  5. Step 5: Solve for x
    x = 157,248,288,752.86/377,882.16
  6. Step 6: Final answer
    x = 416,130.49

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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.