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Finding the Fourth Proportional to 527,107.80, 726,685.74 and 333,419.16

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Solution

The fourth proportional to 527,107.80, 726,685.74 and 333,419.16 is: 459,661.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,107.80 : 726,685.74 = 333,419.16 : x
  2. Step 2: Convert to fraction form
    527,107.80/726,685.74 = 333,419.16/x
  3. Step 3: Cross multiply
    527,107.80x = 726,685.74 × 333,419.16
  4. Step 4: Simplify right side
    527,107.80x = 242,290,949,014.78
  5. Step 5: Solve for x
    x = 242,290,949,014.78/527,107.80
  6. Step 6: Final answer
    x = 459,661.10

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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.