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Finding the Fourth Proportional to 311,296.83, 466,945.34 and 240,323.09

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Solution

The fourth proportional to 311,296.83, 466,945.34 and 240,323.09 is: 360,484.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,296.83 : 466,945.34 = 240,323.09 : x
  2. Step 2: Convert to fraction form
    311,296.83/466,945.34 = 240,323.09/x
  3. Step 3: Cross multiply
    311,296.83x = 466,945.34 × 240,323.09
  4. Step 4: Simplify right side
    311,296.83x = 112,217,746,661.08
  5. Step 5: Solve for x
    x = 112,217,746,661.08/311,296.83
  6. Step 6: Final answer
    x = 360,484.70

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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.