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Finding the Fourth Proportional to 675,720.70, 1,013,282.16 and 202,317.82

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Solution

The fourth proportional to 675,720.70, 1,013,282.16 and 202,317.82 is: 303,387.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,720.70 : 1,013,282.16 = 202,317.82 : x
  2. Step 2: Convert to fraction form
    675,720.70/1,013,282.16 = 202,317.82/x
  3. Step 3: Cross multiply
    675,720.70x = 1,013,282.16 × 202,317.82
  4. Step 4: Simplify right side
    675,720.70x = 205,005,037,656.09
  5. Step 5: Solve for x
    x = 205,005,037,656.09/675,720.70
  6. Step 6: Final answer
    x = 303,387.24

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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.