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Finding the Fourth Proportional to 401,562.62, 602,340.68 and 102,044.06

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Solution

The fourth proportional to 401,562.62, 602,340.68 and 102,044.06 is: 153,065.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,562.62 : 602,340.68 = 102,044.06 : x
  2. Step 2: Convert to fraction form
    401,562.62/602,340.68 = 102,044.06/x
  3. Step 3: Cross multiply
    401,562.62x = 602,340.68 × 102,044.06
  4. Step 4: Simplify right side
    401,562.62x = 61,465,288,490.36
  5. Step 5: Solve for x
    x = 61,465,288,490.36/401,562.62
  6. Step 6: Final answer
    x = 153,065.26

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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.