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Finding the Fourth Proportional to 310,963.16, 465,843.44 and 260,443.46

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Solution

The fourth proportional to 310,963.16, 465,843.44 and 260,443.46 is: 390,161.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,963.16 : 465,843.44 = 260,443.46 : x
  2. Step 2: Convert to fraction form
    310,963.16/465,843.44 = 260,443.46/x
  3. Step 3: Cross multiply
    310,963.16x = 465,843.44 × 260,443.46
  4. Step 4: Simplify right side
    310,963.16x = 121,325,877,331.90
  5. Step 5: Solve for x
    x = 121,325,877,331.90/310,963.16
  6. Step 6: Final answer
    x = 390,161.58

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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.