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Finding the Fourth Proportional to 310,677.64, 465,950.04 and 100,259.08

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Solution

The fourth proportional to 310,677.64, 465,950.04 and 100,259.08 is: 150,367.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,677.64 : 465,950.04 = 100,259.08 : x
  2. Step 2: Convert to fraction form
    310,677.64/465,950.04 = 100,259.08/x
  3. Step 3: Cross multiply
    310,677.64x = 465,950.04 × 100,259.08
  4. Step 4: Simplify right side
    310,677.64x = 46,715,722,336.36
  5. Step 5: Solve for x
    x = 46,715,722,336.36/310,677.64
  6. Step 6: Final answer
    x = 150,367.19

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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.