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Finding the Fourth Proportional to 493,502.74, 740,260.19 and 173,664.16

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Solution

The fourth proportional to 493,502.74, 740,260.19 and 173,664.16 is: 260,498.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,502.74 : 740,260.19 = 173,664.16 : x
  2. Step 2: Convert to fraction form
    493,502.74/740,260.19 = 173,664.16/x
  3. Step 3: Cross multiply
    493,502.74x = 740,260.19 × 173,664.16
  4. Step 4: Simplify right side
    493,502.74x = 128,556,664,077.79
  5. Step 5: Solve for x
    x = 128,556,664,077.79/493,502.74
  6. Step 6: Final answer
    x = 260,498.38

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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.