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Finding the Fourth Proportional to 401,718.26, 602,580.80 and 102,199.10

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Solution

The fourth proportional to 401,718.26, 602,580.80 and 102,199.10 is: 153,299.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,718.26 : 602,580.80 = 102,199.10 : x
  2. Step 2: Convert to fraction form
    401,718.26/602,580.80 = 102,199.10/x
  3. Step 3: Cross multiply
    401,718.26x = 602,580.80 × 102,199.10
  4. Step 4: Simplify right side
    401,718.26x = 61,583,215,437.28
  5. Step 5: Solve for x
    x = 61,583,215,437.28/401,718.26
  6. Step 6: Final answer
    x = 153,299.52

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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.