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Finding the Fourth Proportional to 401,303.50, 601,948.28 and 135,064.02

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Solution

The fourth proportional to 401,303.50, 601,948.28 and 135,064.02 is: 202,593.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,303.50 : 601,948.28 = 135,064.02 : x
  2. Step 2: Convert to fraction form
    401,303.50/601,948.28 = 135,064.02/x
  3. Step 3: Cross multiply
    401,303.50x = 601,948.28 × 135,064.02
  4. Step 4: Simplify right side
    401,303.50x = 81,301,554,866.55
  5. Step 5: Solve for x
    x = 81,301,554,866.55/401,303.50
  6. Step 6: Final answer
    x = 202,593.69

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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.