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Finding the Fourth Proportional to 282,011.80, 423,017.70 and 264,515.80

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Solution

The fourth proportional to 282,011.80, 423,017.70 and 264,515.80 is: 396,773.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,011.80 : 423,017.70 = 264,515.80 : x
  2. Step 2: Convert to fraction form
    282,011.80/423,017.70 = 264,515.80/x
  3. Step 3: Cross multiply
    282,011.80x = 423,017.70 × 264,515.80
  4. Step 4: Simplify right side
    282,011.80x = 111,894,865,329.66
  5. Step 5: Solve for x
    x = 111,894,865,329.66/282,011.80
  6. Step 6: Final answer
    x = 396,773.70

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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.