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Finding the Fourth Proportional to 374,257.40, 516,478.84 and 204,491.50

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Solution

The fourth proportional to 374,257.40, 516,478.84 and 204,491.50 is: 282,200.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,257.40 : 516,478.84 = 204,491.50 : x
  2. Step 2: Convert to fraction form
    374,257.40/516,478.84 = 204,491.50/x
  3. Step 3: Cross multiply
    374,257.40x = 516,478.84 × 204,491.50
  4. Step 4: Simplify right side
    374,257.40x = 105,615,532,709.86
  5. Step 5: Solve for x
    x = 105,615,532,709.86/374,257.40
  6. Step 6: Final answer
    x = 282,200.25

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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.