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Finding the Fourth Proportional to 311,400.30, 467,100.45 and 101,038.24

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Solution

The fourth proportional to 311,400.30, 467,100.45 and 101,038.24 is: 151,557.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,400.30 : 467,100.45 = 101,038.24 : x
  2. Step 2: Convert to fraction form
    311,400.30/467,100.45 = 101,038.24/x
  3. Step 3: Cross multiply
    311,400.30x = 467,100.45 × 101,038.24
  4. Step 4: Simplify right side
    311,400.30x = 47,195,006,203.46
  5. Step 5: Solve for x
    x = 47,195,006,203.46/311,400.30
  6. Step 6: Final answer
    x = 151,557.36

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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.