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Finding the Fourth Proportional to 307,230.66, 460,746.32 and 117,680.94

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Solution

The fourth proportional to 307,230.66, 460,746.32 and 117,680.94 is: 176,483.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,230.66 : 460,746.32 = 117,680.94 : x
  2. Step 2: Convert to fraction form
    307,230.66/460,746.32 = 117,680.94/x
  3. Step 3: Cross multiply
    307,230.66x = 460,746.32 × 117,680.94
  4. Step 4: Simplify right side
    307,230.66x = 54,221,059,450.74
  5. Step 5: Solve for x
    x = 54,221,059,450.74/307,230.66
  6. Step 6: Final answer
    x = 176,483.23

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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.