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Finding the Fourth Proportional to 307,594.72, 460,743.54 and 195,215.68

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Solution

The fourth proportional to 307,594.72, 460,743.54 and 195,215.68 is: 292,411.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,594.72 : 460,743.54 = 195,215.68 : x
  2. Step 2: Convert to fraction form
    307,594.72/460,743.54 = 195,215.68/x
  3. Step 3: Cross multiply
    307,594.72x = 460,743.54 × 195,215.68
  4. Step 4: Simplify right side
    307,594.72x = 89,944,363,466.71
  5. Step 5: Solve for x
    x = 89,944,363,466.71/307,594.72
  6. Step 6: Final answer
    x = 292,411.92

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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.