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Finding the Fourth Proportional to 465,009.20, 695,764.20 and 307,545.20

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Solution

The fourth proportional to 465,009.20, 695,764.20 and 307,545.20 is: 460,160.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,009.20 : 695,764.20 = 307,545.20 : x
  2. Step 2: Convert to fraction form
    465,009.20/695,764.20 = 307,545.20/x
  3. Step 3: Cross multiply
    465,009.20x = 695,764.20 × 307,545.20
  4. Step 4: Simplify right side
    465,009.20x = 213,978,940,041.84
  5. Step 5: Solve for x
    x = 213,978,940,041.84/465,009.20
  6. Step 6: Final answer
    x = 460,160.66

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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.