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Finding the Fourth Proportional to 310,813.40, 466,361.55 and 150,802.97

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Solution

The fourth proportional to 310,813.40, 466,361.55 and 150,802.97 is: 226,273.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,813.40 : 466,361.55 = 150,802.97 : x
  2. Step 2: Convert to fraction form
    310,813.40/466,361.55 = 150,802.97/x
  3. Step 3: Cross multiply
    310,813.40x = 466,361.55 × 150,802.97
  4. Step 4: Simplify right side
    310,813.40x = 70,328,704,502.00
  5. Step 5: Solve for x
    x = 70,328,704,502.00/310,813.40
  6. Step 6: Final answer
    x = 226,273.08

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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.