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Finding the Fourth Proportional to 406,046.42, 608,727.06 and 255,955.80

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Solution

The fourth proportional to 406,046.42, 608,727.06 and 255,955.80 is: 383,717.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,046.42 : 608,727.06 = 255,955.80 : x
  2. Step 2: Convert to fraction form
    406,046.42/608,727.06 = 255,955.80/x
  3. Step 3: Cross multiply
    406,046.42x = 608,727.06 × 255,955.80
  4. Step 4: Simplify right side
    406,046.42x = 155,807,221,623.95
  5. Step 5: Solve for x
    x = 155,807,221,623.95/406,046.42
  6. Step 6: Final answer
    x = 383,717.76

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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.