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Finding the Fourth Proportional to 382,415.68, 527,746.44 and 210,340.92

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Solution

The fourth proportional to 382,415.68, 527,746.44 and 210,340.92 is: 290,277.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,415.68 : 527,746.44 = 210,340.92 : x
  2. Step 2: Convert to fraction form
    382,415.68/527,746.44 = 210,340.92/x
  3. Step 3: Cross multiply
    382,415.68x = 527,746.44 × 210,340.92
  4. Step 4: Simplify right side
    382,415.68x = 111,006,671,716.33
  5. Step 5: Solve for x
    x = 111,006,671,716.33/382,415.68
  6. Step 6: Final answer
    x = 290,277.51

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.