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Finding the Fourth Proportional to 473,947.03, 654,046.95 and 259,088.66

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Solution

The fourth proportional to 473,947.03, 654,046.95 and 259,088.66 is: 357,542.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,947.03 : 654,046.95 = 259,088.66 : x
  2. Step 2: Convert to fraction form
    473,947.03/654,046.95 = 259,088.66/x
  3. Step 3: Cross multiply
    473,947.03x = 654,046.95 × 259,088.66
  4. Step 4: Simplify right side
    473,947.03x = 169,456,148,006.61
  5. Step 5: Solve for x
    x = 169,456,148,006.61/473,947.03
  6. Step 6: Final answer
    x = 357,542.38

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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.