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Finding the Fourth Proportional to 468,143.40, 702,215.10 and 413,905.80

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Solution

The fourth proportional to 468,143.40, 702,215.10 and 413,905.80 is: 620,858.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,143.40 : 702,215.10 = 413,905.80 : x
  2. Step 2: Convert to fraction form
    468,143.40/702,215.10 = 413,905.80/x
  3. Step 3: Cross multiply
    468,143.40x = 702,215.10 × 413,905.80
  4. Step 4: Simplify right side
    468,143.40x = 290,650,902,737.58
  5. Step 5: Solve for x
    x = 290,650,902,737.58/468,143.40
  6. Step 6: Final answer
    x = 620,858.70

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1.5x scale

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.