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Finding the Fourth Proportional to 417,474.88, 625,699.08 and 192,523

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Solution

The fourth proportional to 417,474.88, 625,699.08 and 192,523 is: 288,547.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,474.88 : 625,699.08 = 192,523 : x
  2. Step 2: Convert to fraction form
    417,474.88/625,699.08 = 192,523/x
  3. Step 3: Cross multiply
    417,474.88x = 625,699.08 × 192,523
  4. Step 4: Simplify right side
    417,474.88x = 120,461,463,978.84
  5. Step 5: Solve for x
    x = 120,461,463,978.84/417,474.88
  6. Step 6: Final answer
    x = 288,547.81

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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.