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Finding the Fourth Proportional to 473,728.30, 653,717.19 and 258,825.58

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Solution

The fourth proportional to 473,728.30, 653,717.19 and 258,825.58 is: 357,164.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,728.30 : 653,717.19 = 258,825.58 : x
  2. Step 2: Convert to fraction form
    473,728.30/653,717.19 = 258,825.58/x
  3. Step 3: Cross multiply
    473,728.30x = 653,717.19 × 258,825.58
  4. Step 4: Simplify right side
    473,728.30x = 169,198,730,857.72
  5. Step 5: Solve for x
    x = 169,198,730,857.72/473,728.30
  6. Step 6: Final answer
    x = 357,164.08

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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.