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Finding the Fourth Proportional to 310,912.60, 466,253.70 and 100,557.40

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Solution

The fourth proportional to 310,912.60, 466,253.70 and 100,557.40 is: 150,798.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,912.60 : 466,253.70 = 100,557.40 : x
  2. Step 2: Convert to fraction form
    310,912.60/466,253.70 = 100,557.40/x
  3. Step 3: Cross multiply
    310,912.60x = 466,253.70 × 100,557.40
  4. Step 4: Simplify right side
    310,912.60x = 46,885,259,812.38
  5. Step 5: Solve for x
    x = 46,885,259,812.38/310,912.60
  6. Step 6: Final answer
    x = 150,798.84

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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.