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Finding the Fourth Proportional to 509,300.32, 702,793.30 and 294,454.23

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Solution

The fourth proportional to 509,300.32, 702,793.30 and 294,454.23 is: 406,323.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,300.32 : 702,793.30 = 294,454.23 : x
  2. Step 2: Convert to fraction form
    509,300.32/702,793.30 = 294,454.23/x
  3. Step 3: Cross multiply
    509,300.32x = 702,793.30 × 294,454.23
  4. Step 4: Simplify right side
    509,300.32x = 206,940,456,486.69
  5. Step 5: Solve for x
    x = 206,940,456,486.69/509,300.32
  6. Step 6: Final answer
    x = 406,323.04

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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.