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Finding the Fourth Proportional to 310,214.78, 465,415.59 and 110,509.10

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Solution

The fourth proportional to 310,214.78, 465,415.59 and 110,509.10 is: 165,796.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,214.78 : 465,415.59 = 110,509.10 : x
  2. Step 2: Convert to fraction form
    310,214.78/465,415.59 = 110,509.10/x
  3. Step 3: Cross multiply
    310,214.78x = 465,415.59 × 110,509.10
  4. Step 4: Simplify right side
    310,214.78x = 51,432,657,976.87
  5. Step 5: Solve for x
    x = 51,432,657,976.87/310,214.78
  6. Step 6: Final answer
    x = 165,796.93

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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.