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Finding the Fourth Proportional to 410,063.84, 565,860 and 237,986.80

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Solution

The fourth proportional to 410,063.84, 565,860 and 237,986.80 is: 328,405.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,063.84 : 565,860 = 237,986.80 : x
  2. Step 2: Convert to fraction form
    410,063.84/565,860 = 237,986.80/x
  3. Step 3: Cross multiply
    410,063.84x = 565,860 × 237,986.80
  4. Step 4: Simplify right side
    410,063.84x = 134,667,210,648
  5. Step 5: Solve for x
    x = 134,667,210,648/410,063.84
  6. Step 6: Final answer
    x = 328,405.48

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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.