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Finding the Fourth Proportional to 310,983.60, 466,129.80 and 133,460.40

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Solution

The fourth proportional to 310,983.60, 466,129.80 and 133,460.40 is: 200,042.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,983.60 : 466,129.80 = 133,460.40 : x
  2. Step 2: Convert to fraction form
    310,983.60/466,129.80 = 133,460.40/x
  3. Step 3: Cross multiply
    310,983.60x = 466,129.80 × 133,460.40
  4. Step 4: Simplify right side
    310,983.60x = 62,209,869,559.92
  5. Step 5: Solve for x
    x = 62,209,869,559.92/310,983.60
  6. Step 6: Final answer
    x = 200,042.28

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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.