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Finding the Fourth Proportional to 314,695.92, 471,787.68 and 146,322.24

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Solution

The fourth proportional to 314,695.92, 471,787.68 and 146,322.24 is: 219,364.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,695.92 : 471,787.68 = 146,322.24 : x
  2. Step 2: Convert to fraction form
    314,695.92/471,787.68 = 146,322.24/x
  3. Step 3: Cross multiply
    314,695.92x = 471,787.68 × 146,322.24
  4. Step 4: Simplify right side
    314,695.92x = 69,033,030,142.00
  5. Step 5: Solve for x
    x = 69,033,030,142.00/314,695.92
  6. Step 6: Final answer
    x = 219,364.24

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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.