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Finding the Fourth Proportional to 406,037.69, 608,713.96 and 255,947.07

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Solution

The fourth proportional to 406,037.69, 608,713.96 and 255,947.07 is: 383,704.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,037.69 : 608,713.96 = 255,947.07 : x
  2. Step 2: Convert to fraction form
    406,037.69/608,713.96 = 255,947.07/x
  3. Step 3: Cross multiply
    406,037.69x = 608,713.96 × 255,947.07
  4. Step 4: Simplify right side
    406,037.69x = 155,798,554,530.10
  5. Step 5: Solve for x
    x = 155,798,554,530.10/406,037.69
  6. Step 6: Final answer
    x = 383,704.66

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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.