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Finding the Fourth Proportional to 468,191.67, 645,866.46 and 284,381.32

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Solution

The fourth proportional to 468,191.67, 645,866.46 and 284,381.32 is: 392,301.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,191.67 : 645,866.46 = 284,381.32 : x
  2. Step 2: Convert to fraction form
    468,191.67/645,866.46 = 284,381.32/x
  3. Step 3: Cross multiply
    468,191.67x = 645,866.46 × 284,381.32
  4. Step 4: Simplify right side
    468,191.67x = 183,672,356,438.53
  5. Step 5: Solve for x
    x = 183,672,356,438.53/468,191.67
  6. Step 6: Final answer
    x = 392,301.63

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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.