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Finding the Fourth Proportional to 566,834.32, 782,266.74 and 312,185.44

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Solution

The fourth proportional to 566,834.32, 782,266.74 and 312,185.44 is: 430,835.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,834.32 : 782,266.74 = 312,185.44 : x
  2. Step 2: Convert to fraction form
    566,834.32/782,266.74 = 312,185.44/x
  3. Step 3: Cross multiply
    566,834.32x = 782,266.74 × 312,185.44
  4. Step 4: Simplify right side
    566,834.32x = 244,212,286,424.27
  5. Step 5: Solve for x
    x = 244,212,286,424.27/566,834.32
  6. Step 6: Final answer
    x = 430,835.39

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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.