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Finding the Fourth Proportional to 584,393.71, 806,326.35 and 354,944.61

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Solution

The fourth proportional to 584,393.71, 806,326.35 and 354,944.61 is: 489,740.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,393.71 : 806,326.35 = 354,944.61 : x
  2. Step 2: Convert to fraction form
    584,393.71/806,326.35 = 354,944.61/x
  3. Step 3: Cross multiply
    584,393.71x = 806,326.35 × 354,944.61
  4. Step 4: Simplify right side
    584,393.71x = 286,201,191,833.47
  5. Step 5: Solve for x
    x = 286,201,191,833.47/584,393.71
  6. Step 6: Final answer
    x = 489,740.37

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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.