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Finding the Fourth Proportional to 470,981.39, 709,123.82 and 415,180.08

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Solution

The fourth proportional to 470,981.39, 709,123.82 and 415,180.08 is: 625,107.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,981.39 : 709,123.82 = 415,180.08 : x
  2. Step 2: Convert to fraction form
    470,981.39/709,123.82 = 415,180.08/x
  3. Step 3: Cross multiply
    470,981.39x = 709,123.82 × 415,180.08
  4. Step 4: Simplify right side
    470,981.39x = 294,414,082,241.61
  5. Step 5: Solve for x
    x = 294,414,082,241.61/470,981.39
  6. Step 6: Final answer
    x = 625,107.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.