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Finding the Fourth Proportional to 473,813.47, 653,863.76 and 258,956.11

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Solution

The fourth proportional to 473,813.47, 653,863.76 and 258,956.11 is: 357,360.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,813.47 : 653,863.76 = 258,956.11 : x
  2. Step 2: Convert to fraction form
    473,813.47/653,863.76 = 258,956.11/x
  3. Step 3: Cross multiply
    473,813.47x = 653,863.76 × 258,956.11
  4. Step 4: Simplify right side
    473,813.47x = 169,322,015,759.57
  5. Step 5: Solve for x
    x = 169,322,015,759.57/473,813.47
  6. Step 6: Final answer
    x = 357,360.07

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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.