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Finding the Fourth Proportional to 409,106.79, 564,472.26 and 247,926.51

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Solution

The fourth proportional to 409,106.79, 564,472.26 and 247,926.51 is: 342,080.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,106.79 : 564,472.26 = 247,926.51 : x
  2. Step 2: Convert to fraction form
    409,106.79/564,472.26 = 247,926.51/x
  3. Step 3: Cross multiply
    409,106.79x = 564,472.26 × 247,926.51
  4. Step 4: Simplify right side
    409,106.79x = 139,947,637,413.61
  5. Step 5: Solve for x
    x = 139,947,637,413.61/409,106.79
  6. Step 6: Final answer
    x = 342,080.95

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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.