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Finding the Fourth Proportional to 310,529.40, 465,794.10 and 110,856.30

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Solution

The fourth proportional to 310,529.40, 465,794.10 and 110,856.30 is: 166,284.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,529.40 : 465,794.10 = 110,856.30 : x
  2. Step 2: Convert to fraction form
    310,529.40/465,794.10 = 110,856.30/x
  3. Step 3: Cross multiply
    310,529.40x = 465,794.10 × 110,856.30
  4. Step 4: Simplify right side
    310,529.40x = 51,636,210,487.83
  5. Step 5: Solve for x
    x = 51,636,210,487.83/310,529.40
  6. Step 6: Final answer
    x = 166,284.45

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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.