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Finding the Fourth Proportional to 417,206.62, 625,887.78 and 189,518.24

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Solution

The fourth proportional to 417,206.62, 625,887.78 and 189,518.24 is: 284,312.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,206.62 : 625,887.78 = 189,518.24 : x
  2. Step 2: Convert to fraction form
    417,206.62/625,887.78 = 189,518.24/x
  3. Step 3: Cross multiply
    417,206.62x = 625,887.78 × 189,518.24
  4. Step 4: Simplify right side
    417,206.62x = 118,617,147,373.67
  5. Step 5: Solve for x
    x = 118,617,147,373.67/417,206.62
  6. Step 6: Final answer
    x = 284,312.72

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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.