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Finding the Fourth Proportional to 416,560, 625,030.40 and 226,736

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Solution

The fourth proportional to 416,560, 625,030.40 and 226,736 is: 340,207.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,560 : 625,030.40 = 226,736 : x
  2. Step 2: Convert to fraction form
    416,560/625,030.40 = 226,736/x
  3. Step 3: Cross multiply
    416,560x = 625,030.40 × 226,736
  4. Step 4: Simplify right side
    416,560x = 141,716,892,774.40
  5. Step 5: Solve for x
    x = 141,716,892,774.40/416,560
  6. Step 6: Final answer
    x = 340,207.64

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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.