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Finding the Fourth Proportional to 514,354.91, 709,821.20 and 293,587.73

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Solution

The fourth proportional to 514,354.91, 709,821.20 and 293,587.73 is: 405,157.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,354.91 : 709,821.20 = 293,587.73 : x
  2. Step 2: Convert to fraction form
    514,354.91/709,821.20 = 293,587.73/x
  3. Step 3: Cross multiply
    514,354.91x = 709,821.20 × 293,587.73
  4. Step 4: Simplify right side
    514,354.91x = 208,394,789,796.83
  5. Step 5: Solve for x
    x = 208,394,789,796.83/514,354.91
  6. Step 6: Final answer
    x = 405,157.58

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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.