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Finding the Fourth Proportional to 287,234.10, 430,851.15 and 287,234.10

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Solution

The fourth proportional to 287,234.10, 430,851.15 and 287,234.10 is: 430,851.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,234.10 : 430,851.15 = 287,234.10 : x
  2. Step 2: Convert to fraction form
    287,234.10/430,851.15 = 287,234.10/x
  3. Step 3: Cross multiply
    287,234.10x = 430,851.15 × 287,234.10
  4. Step 4: Simplify right side
    287,234.10x = 123,755,142,304.22
  5. Step 5: Solve for x
    x = 123,755,142,304.22/287,234.10
  6. Step 6: Final answer
    x = 430,851.15

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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.