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Finding the Fourth Proportional to 473,690.28, 653,684.78 and 258,825.72

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Solution

The fourth proportional to 473,690.28, 653,684.78 and 258,825.72 is: 357,175.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,690.28 : 653,684.78 = 258,825.72 : x
  2. Step 2: Convert to fraction form
    473,690.28/653,684.78 = 258,825.72/x
  3. Step 3: Cross multiply
    473,690.28x = 653,684.78 × 258,825.72
  4. Step 4: Simplify right side
    473,690.28x = 169,190,433,836.54
  5. Step 5: Solve for x
    x = 169,190,433,836.54/473,690.28
  6. Step 6: Final answer
    x = 357,175.23

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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.