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Finding the Fourth Proportional to 307,616.93, 461,422.51 and 97,254.89

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Solution

The fourth proportional to 307,616.93, 461,422.51 and 97,254.89 is: 145,881.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,616.93 : 461,422.51 = 97,254.89 : x
  2. Step 2: Convert to fraction form
    307,616.93/461,422.51 = 97,254.89/x
  3. Step 3: Cross multiply
    307,616.93x = 461,422.51 × 97,254.89
  4. Step 4: Simplify right side
    307,616.93x = 44,875,595,453.57
  5. Step 5: Solve for x
    x = 44,875,595,453.57/307,616.93
  6. Step 6: Final answer
    x = 145,881.42

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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.