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Finding the Fourth Proportional to 456,057.04, 684,233.22 and 219,368.92

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Solution

The fourth proportional to 456,057.04, 684,233.22 and 219,368.92 is: 329,124.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,057.04 : 684,233.22 = 219,368.92 : x
  2. Step 2: Convert to fraction form
    456,057.04/684,233.22 = 219,368.92/x
  3. Step 3: Cross multiply
    456,057.04x = 684,233.22 × 219,368.92
  4. Step 4: Simplify right side
    456,057.04x = 150,099,502,499.52
  5. Step 5: Solve for x
    x = 150,099,502,499.52/456,057.04
  6. Step 6: Final answer
    x = 329,124.41

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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.