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Finding the Fourth Proportional to 519,742.50, 717,244.65 and 281,278.50

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Solution

The fourth proportional to 519,742.50, 717,244.65 and 281,278.50 is: 388,164.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,742.50 : 717,244.65 = 281,278.50 : x
  2. Step 2: Convert to fraction form
    519,742.50/717,244.65 = 281,278.50/x
  3. Step 3: Cross multiply
    519,742.50x = 717,244.65 × 281,278.50
  4. Step 4: Simplify right side
    519,742.50x = 201,745,499,285.03
  5. Step 5: Solve for x
    x = 201,745,499,285.03/519,742.50
  6. Step 6: Final answer
    x = 388,164.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.