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Finding the Fourth Proportional to 311,007.60, 466,511.40 and 100,666.80

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Solution

The fourth proportional to 311,007.60, 466,511.40 and 100,666.80 is: 151,000.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,007.60 : 466,511.40 = 100,666.80 : x
  2. Step 2: Convert to fraction form
    311,007.60/466,511.40 = 100,666.80/x
  3. Step 3: Cross multiply
    311,007.60x = 466,511.40 × 100,666.80
  4. Step 4: Simplify right side
    311,007.60x = 46,962,209,801.52
  5. Step 5: Solve for x
    x = 46,962,209,801.52/311,007.60
  6. Step 6: Final answer
    x = 151,000.20

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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.