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Finding the Fourth Proportional to 304,851.68, 457,180.59 and 284,950.28

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Solution

The fourth proportional to 304,851.68, 457,180.59 and 284,950.28 is: 427,334.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,851.68 : 457,180.59 = 284,950.28 : x
  2. Step 2: Convert to fraction form
    304,851.68/457,180.59 = 284,950.28/x
  3. Step 3: Cross multiply
    304,851.68x = 457,180.59 × 284,950.28
  4. Step 4: Simplify right side
    304,851.68x = 130,273,736,633.98
  5. Step 5: Solve for x
    x = 130,273,736,633.98/304,851.68
  6. Step 6: Final answer
    x = 427,334.82

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1.5x scale

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.