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Finding the Fourth Proportional to 507,833.76, 700,786.08 and 293,043.20

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Solution

The fourth proportional to 507,833.76, 700,786.08 and 293,043.20 is: 404,385.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,833.76 : 700,786.08 = 293,043.20 : x
  2. Step 2: Convert to fraction form
    507,833.76/700,786.08 = 293,043.20/x
  3. Step 3: Cross multiply
    507,833.76x = 700,786.08 × 293,043.20
  4. Step 4: Simplify right side
    507,833.76x = 205,360,595,398.66
  5. Step 5: Solve for x
    x = 205,360,595,398.66/507,833.76
  6. Step 6: Final answer
    x = 404,385.47

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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.