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Finding the Fourth Proportional to 473,205.66, 653,024.79 and 258,345.78

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Solution

The fourth proportional to 473,205.66, 653,024.79 and 258,345.78 is: 356,517.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,205.66 : 653,024.79 = 258,345.78 : x
  2. Step 2: Convert to fraction form
    473,205.66/653,024.79 = 258,345.78/x
  3. Step 3: Cross multiply
    473,205.66x = 653,024.79 × 258,345.78
  4. Step 4: Simplify right side
    473,205.66x = 168,706,198,731.89
  5. Step 5: Solve for x
    x = 168,706,198,731.89/473,205.66
  6. Step 6: Final answer
    x = 356,517.71

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1.5x scale

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.