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Finding the Fourth Proportional to 310,705.80, 466,404.30 and 192,510.60

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Solution

The fourth proportional to 310,705.80, 466,404.30 and 192,510.60 is: 288,980.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,705.80 : 466,404.30 = 192,510.60 : x
  2. Step 2: Convert to fraction form
    310,705.80/466,404.30 = 192,510.60/x
  3. Step 3: Cross multiply
    310,705.80x = 466,404.30 × 192,510.60
  4. Step 4: Simplify right side
    310,705.80x = 89,787,771,635.58
  5. Step 5: Solve for x
    x = 89,787,771,635.58/310,705.80
  6. Step 6: Final answer
    x = 288,980.03

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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.