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Finding the Fourth Proportional to 466,056.90, 699,085.35 and 185,429.70

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Solution

The fourth proportional to 466,056.90, 699,085.35 and 185,429.70 is: 278,144.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,056.90 : 699,085.35 = 185,429.70 : x
  2. Step 2: Convert to fraction form
    466,056.90/699,085.35 = 185,429.70/x
  3. Step 3: Cross multiply
    466,056.90x = 699,085.35 × 185,429.70
  4. Step 4: Simplify right side
    466,056.90x = 129,631,186,724.90
  5. Step 5: Solve for x
    x = 129,631,186,724.90/466,056.90
  6. Step 6: Final answer
    x = 278,144.55

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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.