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Finding the Fourth Proportional to 315,235.52, 472,818.24 and 112,823.46

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Solution

The fourth proportional to 315,235.52, 472,818.24 and 112,823.46 is: 169,222.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,235.52 : 472,818.24 = 112,823.46 : x
  2. Step 2: Convert to fraction form
    315,235.52/472,818.24 = 112,823.46/x
  3. Step 3: Cross multiply
    315,235.52x = 472,818.24 × 112,823.46
  4. Step 4: Simplify right side
    315,235.52x = 53,344,989,787.91
  5. Step 5: Solve for x
    x = 53,344,989,787.91/315,235.52
  6. Step 6: Final answer
    x = 169,222.65

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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.