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Finding the Fourth Proportional to 410,651.40, 566,697.78 and 231,803.40

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Solution

The fourth proportional to 410,651.40, 566,697.78 and 231,803.40 is: 319,888.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,651.40 : 566,697.78 = 231,803.40 : x
  2. Step 2: Convert to fraction form
    410,651.40/566,697.78 = 231,803.40/x
  3. Step 3: Cross multiply
    410,651.40x = 566,697.78 × 231,803.40
  4. Step 4: Simplify right side
    410,651.40x = 131,362,472,176.45
  5. Step 5: Solve for x
    x = 131,362,472,176.45/410,651.40
  6. Step 6: Final answer
    x = 319,888.04

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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.