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Finding the Fourth Proportional to 617,524.79, 852,165.86 and 341,894.90

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Solution

The fourth proportional to 617,524.79, 852,165.86 and 341,894.90 is: 471,804.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,524.79 : 852,165.86 = 341,894.90 : x
  2. Step 2: Convert to fraction form
    617,524.79/852,165.86 = 341,894.90/x
  3. Step 3: Cross multiply
    617,524.79x = 852,165.86 × 341,894.90
  4. Step 4: Simplify right side
    617,524.79x = 291,351,161,705.01
  5. Step 5: Solve for x
    x = 291,351,161,705.01/617,524.79
  6. Step 6: Final answer
    x = 471,804.81

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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.