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Finding the Fourth Proportional to 507,753, 700,699.14 and 281,432.52

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Solution

The fourth proportional to 507,753, 700,699.14 and 281,432.52 is: 388,376.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,753 : 700,699.14 = 281,432.52 : x
  2. Step 2: Convert to fraction form
    507,753/700,699.14 = 281,432.52/x
  3. Step 3: Cross multiply
    507,753x = 700,699.14 × 281,432.52
  4. Step 4: Simplify right side
    507,753x = 197,199,524,732.03
  5. Step 5: Solve for x
    x = 197,199,524,732.03/507,753
  6. Step 6: Final answer
    x = 388,376.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.