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Finding the Fourth Proportional to 278,045.40, 417,068.10 and 188,815.80

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Solution

The fourth proportional to 278,045.40, 417,068.10 and 188,815.80 is: 283,223.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,045.40 : 417,068.10 = 188,815.80 : x
  2. Step 2: Convert to fraction form
    278,045.40/417,068.10 = 188,815.80/x
  3. Step 3: Cross multiply
    278,045.40x = 417,068.10 × 188,815.80
  4. Step 4: Simplify right side
    278,045.40x = 78,749,046,955.98
  5. Step 5: Solve for x
    x = 78,749,046,955.98/278,045.40
  6. Step 6: Final answer
    x = 283,223.70

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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.