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Finding the Fourth Proportional to 312,588.45, 468,384.44 and 200,176.20

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Solution

The fourth proportional to 312,588.45, 468,384.44 and 200,176.20 is: 299,945.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,588.45 : 468,384.44 = 200,176.20 : x
  2. Step 2: Convert to fraction form
    312,588.45/468,384.44 = 200,176.20/x
  3. Step 3: Cross multiply
    312,588.45x = 468,384.44 × 200,176.20
  4. Step 4: Simplify right side
    312,588.45x = 93,759,416,337.45
  5. Step 5: Solve for x
    x = 93,759,416,337.45/312,588.45
  6. Step 6: Final answer
    x = 299,945.24

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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.