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Finding the Fourth Proportional to 310,853.80, 466,280.70 and 203,948.20

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Solution

The fourth proportional to 310,853.80, 466,280.70 and 203,948.20 is: 305,922.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,853.80 : 466,280.70 = 203,948.20 : x
  2. Step 2: Convert to fraction form
    310,853.80/466,280.70 = 203,948.20/x
  3. Step 3: Cross multiply
    310,853.80x = 466,280.70 × 203,948.20
  4. Step 4: Simplify right side
    310,853.80x = 95,097,109,459.74
  5. Step 5: Solve for x
    x = 95,097,109,459.74/310,853.80
  6. Step 6: Final answer
    x = 305,922.30

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1.5x scale

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.