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Finding the Fourth Proportional to 401,996.68, 602,206.62 and 233,162.20

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Solution

The fourth proportional to 401,996.68, 602,206.62 and 233,162.20 is: 349,286.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,996.68 : 602,206.62 = 233,162.20 : x
  2. Step 2: Convert to fraction form
    401,996.68/602,206.62 = 233,162.20/x
  3. Step 3: Cross multiply
    401,996.68x = 602,206.62 × 233,162.20
  4. Step 4: Simplify right side
    401,996.68x = 140,411,820,373.76
  5. Step 5: Solve for x
    x = 140,411,820,373.76/401,996.68
  6. Step 6: Final answer
    x = 349,286.02

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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.