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Finding the Fourth Proportional to 532,388.49, 797,309.61 and 307,065.84

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Solution

The fourth proportional to 532,388.49, 797,309.61 and 307,065.84 is: 459,864.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,388.49 : 797,309.61 = 307,065.84 : x
  2. Step 2: Convert to fraction form
    532,388.49/797,309.61 = 307,065.84/x
  3. Step 3: Cross multiply
    532,388.49x = 797,309.61 × 307,065.84
  4. Step 4: Simplify right side
    532,388.49x = 244,826,545,134.72
  5. Step 5: Solve for x
    x = 244,826,545,134.72/532,388.49
  6. Step 6: Final answer
    x = 459,864.46

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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.