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Finding the Fourth Proportional to 463,565.34, 639,689.73 and 259,569.51

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Solution

The fourth proportional to 463,565.34, 639,689.73 and 259,569.51 is: 358,188.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,565.34 : 639,689.73 = 259,569.51 : x
  2. Step 2: Convert to fraction form
    463,565.34/639,689.73 = 259,569.51/x
  3. Step 3: Cross multiply
    463,565.34x = 639,689.73 × 259,569.51
  4. Step 4: Simplify right side
    463,565.34x = 166,043,949,768.13
  5. Step 5: Solve for x
    x = 166,043,949,768.13/463,565.34
  6. Step 6: Final answer
    x = 358,188.88

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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.