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Finding the Fourth Proportional to 517,274.10, 775,717.56 and 180,228.24

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Solution

The fourth proportional to 517,274.10, 775,717.56 and 180,228.24 is: 270,274.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,274.10 : 775,717.56 = 180,228.24 : x
  2. Step 2: Convert to fraction form
    517,274.10/775,717.56 = 180,228.24/x
  3. Step 3: Cross multiply
    517,274.10x = 775,717.56 × 180,228.24
  4. Step 4: Simplify right side
    517,274.10x = 139,806,210,575.89
  5. Step 5: Solve for x
    x = 139,806,210,575.89/517,274.10
  6. Step 6: Final answer
    x = 270,274.91

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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.