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Finding the Fourth Proportional to 307,263.64, 460,895.47 and 96,917.98

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Solution

The fourth proportional to 307,263.64, 460,895.47 and 96,917.98 is: 145,376.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,263.64 : 460,895.47 = 96,917.98 : x
  2. Step 2: Convert to fraction form
    307,263.64/460,895.47 = 96,917.98/x
  3. Step 3: Cross multiply
    307,263.64x = 460,895.47 × 96,917.98
  4. Step 4: Simplify right side
    307,263.64x = 44,669,056,549.02
  5. Step 5: Solve for x
    x = 44,669,056,549.02/307,263.64
  6. Step 6: Final answer
    x = 145,376.97

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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.