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Finding the Fourth Proportional to 459,056.88, 688,123.41 and 189,381.71

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Solution

The fourth proportional to 459,056.88, 688,123.41 and 189,381.71 is: 283,882.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,056.88 : 688,123.41 = 189,381.71 : x
  2. Step 2: Convert to fraction form
    459,056.88/688,123.41 = 189,381.71/x
  3. Step 3: Cross multiply
    459,056.88x = 688,123.41 × 189,381.71
  4. Step 4: Simplify right side
    459,056.88x = 130,317,990,418.55
  5. Step 5: Solve for x
    x = 130,317,990,418.55/459,056.88
  6. Step 6: Final answer
    x = 283,882.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.