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Finding the Fourth Proportional to 307,703.16, 460,340.64 and 233,039.16

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Solution

The fourth proportional to 307,703.16, 460,340.64 and 233,039.16 is: 348,639.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,703.16 : 460,340.64 = 233,039.16 : x
  2. Step 2: Convert to fraction form
    307,703.16/460,340.64 = 233,039.16/x
  3. Step 3: Cross multiply
    307,703.16x = 460,340.64 × 233,039.16
  4. Step 4: Simplify right side
    307,703.16x = 107,277,396,059.46
  5. Step 5: Solve for x
    x = 107,277,396,059.46/307,703.16
  6. Step 6: Final answer
    x = 348,639.24

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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.