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Finding the Fourth Proportional to 310,901.60, 466,544.40 and 123,893.60

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Solution

The fourth proportional to 310,901.60, 466,544.40 and 123,893.60 is: 185,916.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,901.60 : 466,544.40 = 123,893.60 : x
  2. Step 2: Convert to fraction form
    310,901.60/466,544.40 = 123,893.60/x
  3. Step 3: Cross multiply
    310,901.60x = 466,544.40 × 123,893.60
  4. Step 4: Simplify right side
    310,901.60x = 57,801,865,275.84
  5. Step 5: Solve for x
    x = 57,801,865,275.84/310,901.60
  6. Step 6: Final answer
    x = 185,916.91

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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.