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Finding the Fourth Proportional to 406,043.42, 608,722.56 and 255,952.80

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Solution

The fourth proportional to 406,043.42, 608,722.56 and 255,952.80 is: 383,713.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,043.42 : 608,722.56 = 255,952.80 : x
  2. Step 2: Convert to fraction form
    406,043.42/608,722.56 = 255,952.80/x
  3. Step 3: Cross multiply
    406,043.42x = 608,722.56 × 255,952.80
  4. Step 4: Simplify right side
    406,043.42x = 155,804,243,655.17
  5. Step 5: Solve for x
    x = 155,804,243,655.17/406,043.42
  6. Step 6: Final answer
    x = 383,713.26

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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.