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Finding the Fourth Proportional to 508,739.32, 702,025.14 and 282,367

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Solution

The fourth proportional to 508,739.32, 702,025.14 and 282,367 is: 389,646.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,739.32 : 702,025.14 = 282,367 : x
  2. Step 2: Convert to fraction form
    508,739.32/702,025.14 = 282,367/x
  3. Step 3: Cross multiply
    508,739.32x = 702,025.14 × 282,367
  4. Step 4: Simplify right side
    508,739.32x = 198,228,732,706.38
  5. Step 5: Solve for x
    x = 198,228,732,706.38/508,739.32
  6. Step 6: Final answer
    x = 389,646.97

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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.