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Finding the Fourth Proportional to 286,876.40, 430,314.60 and 207,618.80

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Solution

The fourth proportional to 286,876.40, 430,314.60 and 207,618.80 is: 311,428.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,876.40 : 430,314.60 = 207,618.80 : x
  2. Step 2: Convert to fraction form
    286,876.40/430,314.60 = 207,618.80/x
  3. Step 3: Cross multiply
    286,876.40x = 430,314.60 × 207,618.80
  4. Step 4: Simplify right side
    286,876.40x = 89,341,400,874.48
  5. Step 5: Solve for x
    x = 89,341,400,874.48/286,876.40
  6. Step 6: Final answer
    x = 311,428.20

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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.