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Finding the Fourth Proportional to 307,693.52, 461,557.08 and 97,315.76

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Solution

The fourth proportional to 307,693.52, 461,557.08 and 97,315.76 is: 145,978.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,693.52 : 461,557.08 = 97,315.76 : x
  2. Step 2: Convert to fraction form
    307,693.52/461,557.08 = 97,315.76/x
  3. Step 3: Cross multiply
    307,693.52x = 461,557.08 × 97,315.76
  4. Step 4: Simplify right side
    307,693.52x = 44,916,778,023.58
  5. Step 5: Solve for x
    x = 44,916,778,023.58/307,693.52
  6. Step 6: Final answer
    x = 145,978.95

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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.