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Finding the Fourth Proportional to 401,560.62, 602,337.69 and 102,042.06

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Solution

The fourth proportional to 401,560.62, 602,337.69 and 102,042.06 is: 153,062.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,560.62 : 602,337.69 = 102,042.06 : x
  2. Step 2: Convert to fraction form
    401,560.62/602,337.69 = 102,042.06/x
  3. Step 3: Cross multiply
    401,560.62x = 602,337.69 × 102,042.06
  4. Step 4: Simplify right side
    401,560.62x = 61,463,778,703.24
  5. Step 5: Solve for x
    x = 61,463,778,703.24/401,560.62
  6. Step 6: Final answer
    x = 153,062.27

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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.