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Finding the Fourth Proportional to 307,587.95, 461,379.15 and 97,225.95

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Solution

The fourth proportional to 307,587.95, 461,379.15 and 97,225.95 is: 145,838.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,587.95 : 461,379.15 = 97,225.95 : x
  2. Step 2: Convert to fraction form
    307,587.95/461,379.15 = 97,225.95/x
  3. Step 3: Cross multiply
    307,587.95x = 461,379.15 × 97,225.95
  4. Step 4: Simplify right side
    307,587.95x = 44,858,026,168.94
  5. Step 5: Solve for x
    x = 44,858,026,168.94/307,587.95
  6. Step 6: Final answer
    x = 145,838.05

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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.