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Finding the Fourth Proportional to 310,726.61, 465,664.66 and 234,762.69

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Solution

The fourth proportional to 310,726.61, 465,664.66 and 234,762.69 is: 351,822.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,726.61 : 465,664.66 = 234,762.69 : x
  2. Step 2: Convert to fraction form
    310,726.61/465,664.66 = 234,762.69/x
  3. Step 3: Cross multiply
    310,726.61x = 465,664.66 × 234,762.69
  4. Step 4: Simplify right side
    310,726.61x = 109,320,689,378.87
  5. Step 5: Solve for x
    x = 109,320,689,378.87/310,726.61
  6. Step 6: Final answer
    x = 351,822.75

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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.