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Finding the Fourth Proportional to 401,509.62, 602,389.17 and 241,761.42

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Solution

The fourth proportional to 401,509.62, 602,389.17 and 241,761.42 is: 362,717.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,509.62 : 602,389.17 = 241,761.42 : x
  2. Step 2: Convert to fraction form
    401,509.62/602,389.17 = 241,761.42/x
  3. Step 3: Cross multiply
    401,509.62x = 602,389.17 × 241,761.42
  4. Step 4: Simplify right side
    401,509.62x = 145,634,461,131.82
  5. Step 5: Solve for x
    x = 145,634,461,131.82/401,509.62
  6. Step 6: Final answer
    x = 362,717.24

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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.