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Finding the Fourth Proportional to 589,171.14, 813,061.65 and 334,527.78

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Solution

The fourth proportional to 589,171.14, 813,061.65 and 334,527.78 is: 461,651.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,171.14 : 813,061.65 = 334,527.78 : x
  2. Step 2: Convert to fraction form
    589,171.14/813,061.65 = 334,527.78/x
  3. Step 3: Cross multiply
    589,171.14x = 813,061.65 × 334,527.78
  4. Step 4: Simplify right side
    589,171.14x = 271,991,708,777.64
  5. Step 5: Solve for x
    x = 271,991,708,777.64/589,171.14
  6. Step 6: Final answer
    x = 461,651.45

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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.