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Finding the Fourth Proportional to 410,875.84, 567,083.04 and 265,860.16

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Solution

The fourth proportional to 410,875.84, 567,083.04 and 265,860.16 is: 366,935.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,875.84 : 567,083.04 = 265,860.16 : x
  2. Step 2: Convert to fraction form
    410,875.84/567,083.04 = 265,860.16/x
  3. Step 3: Cross multiply
    410,875.84x = 567,083.04 × 265,860.16
  4. Step 4: Simplify right side
    410,875.84x = 150,764,787,747.69
  5. Step 5: Solve for x
    x = 150,764,787,747.69/410,875.84
  6. Step 6: Final answer
    x = 366,935.15

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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.