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Finding the Fourth Proportional to 401,726.56, 602,593.38 and 102,207.52

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Solution

The fourth proportional to 401,726.56, 602,593.38 and 102,207.52 is: 153,312.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,726.56 : 602,593.38 = 102,207.52 : x
  2. Step 2: Convert to fraction form
    401,726.56/602,593.38 = 102,207.52/x
  3. Step 3: Cross multiply
    401,726.56x = 602,593.38 × 102,207.52
  4. Step 4: Simplify right side
    401,726.56x = 61,589,574,938.22
  5. Step 5: Solve for x
    x = 61,589,574,938.22/401,726.56
  6. Step 6: Final answer
    x = 153,312.18

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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.