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Finding the Fourth Proportional to 897,446.50, 1,345,414.71 and 417,430.50

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Solution

The fourth proportional to 897,446.50, 1,345,414.71 and 417,430.50 is: 625,794.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,446.50 : 1,345,414.71 = 417,430.50 : x
  2. Step 2: Convert to fraction form
    897,446.50/1,345,414.71 = 417,430.50/x
  3. Step 3: Cross multiply
    897,446.50x = 1,345,414.71 × 417,430.50
  4. Step 4: Simplify right side
    897,446.50x = 561,617,135,102.66
  5. Step 5: Solve for x
    x = 561,617,135,102.66/897,446.50
  6. Step 6: Final answer
    x = 625,794.56

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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.