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Finding the Fourth Proportional to 467,189.88, 700,639.02 and 307,257

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Solution

The fourth proportional to 467,189.88, 700,639.02 and 307,257 is: 460,789.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,189.88 : 700,639.02 = 307,257 : x
  2. Step 2: Convert to fraction form
    467,189.88/700,639.02 = 307,257/x
  3. Step 3: Cross multiply
    467,189.88x = 700,639.02 × 307,257
  4. Step 4: Simplify right side
    467,189.88x = 215,276,243,368.14
  5. Step 5: Solve for x
    x = 215,276,243,368.14/467,189.88
  6. Step 6: Final answer
    x = 460,789.61

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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.