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Finding the Fourth Proportional to 403,657.69, 605,595.83 and 150,963.84

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Solution

The fourth proportional to 403,657.69, 605,595.83 and 150,963.84 is: 226,486.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,657.69 : 605,595.83 = 150,963.84 : x
  2. Step 2: Convert to fraction form
    403,657.69/605,595.83 = 150,963.84/x
  3. Step 3: Cross multiply
    403,657.69x = 605,595.83 × 150,963.84
  4. Step 4: Simplify right side
    403,657.69x = 91,423,071,984.79
  5. Step 5: Solve for x
    x = 91,423,071,984.79/403,657.69
  6. Step 6: Final answer
    x = 226,486.64

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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.