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Finding the Fourth Proportional to 401,595.17, 602,392.75 and 135,333.38

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Solution

The fourth proportional to 401,595.17, 602,392.75 and 135,333.38 is: 203,000.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,595.17 : 602,392.75 = 135,333.38 : x
  2. Step 2: Convert to fraction form
    401,595.17/602,392.75 = 135,333.38/x
  3. Step 3: Cross multiply
    401,595.17x = 602,392.75 × 135,333.38
  4. Step 4: Simplify right side
    401,595.17x = 81,523,848,112.64
  5. Step 5: Solve for x
    x = 81,523,848,112.64/401,595.17
  6. Step 6: Final answer
    x = 203,000.07

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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.