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Finding the Fourth Proportional to 282,065.80, 423,098.70 and 268,943.80

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Solution

The fourth proportional to 282,065.80, 423,098.70 and 268,943.80 is: 403,415.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,065.80 : 423,098.70 = 268,943.80 : x
  2. Step 2: Convert to fraction form
    282,065.80/423,098.70 = 268,943.80/x
  3. Step 3: Cross multiply
    282,065.80x = 423,098.70 × 268,943.80
  4. Step 4: Simplify right side
    282,065.80x = 113,789,772,153.06
  5. Step 5: Solve for x
    x = 113,789,772,153.06/282,065.80
  6. Step 6: Final answer
    x = 403,415.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.