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Finding the Fourth Proportional to 282,488.18, 423,733.02 and 69,257.06

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Solution

The fourth proportional to 282,488.18, 423,733.02 and 69,257.06 is: 103,885.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,488.18 : 423,733.02 = 69,257.06 : x
  2. Step 2: Convert to fraction form
    282,488.18/423,733.02 = 69,257.06/x
  3. Step 3: Cross multiply
    282,488.18x = 423,733.02 × 69,257.06
  4. Step 4: Simplify right side
    282,488.18x = 29,346,503,190.12
  5. Step 5: Solve for x
    x = 29,346,503,190.12/282,488.18
  6. Step 6: Final answer
    x = 103,885.77

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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.