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Finding the Fourth Proportional to 473,264.28, 653,099.76 and 258,403.68

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Solution

The fourth proportional to 473,264.28, 653,099.76 and 258,403.68 is: 356,594.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,264.28 : 653,099.76 = 258,403.68 : x
  2. Step 2: Convert to fraction form
    473,264.28/653,099.76 = 258,403.68/x
  3. Step 3: Cross multiply
    473,264.28x = 653,099.76 × 258,403.68
  4. Step 4: Simplify right side
    473,264.28x = 168,763,381,391.12
  5. Step 5: Solve for x
    x = 168,763,381,391.12/473,264.28
  6. Step 6: Final answer
    x = 356,594.38

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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.