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Finding the Fourth Proportional to 589,562, 813,726.88 and 374,660.16

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Solution

The fourth proportional to 589,562, 813,726.88 and 374,660.16 is: 517,114.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,562 : 813,726.88 = 374,660.16 : x
  2. Step 2: Convert to fraction form
    589,562/813,726.88 = 374,660.16/x
  3. Step 3: Cross multiply
    589,562x = 813,726.88 × 374,660.16
  4. Step 4: Simplify right side
    589,562x = 304,871,043,057.10
  5. Step 5: Solve for x
    x = 304,871,043,057.10/589,562
  6. Step 6: Final answer
    x = 517,114.47

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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.