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Finding the Fourth Proportional to 472,225.92, 708,356.16 and 191,736.96

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Solution

The fourth proportional to 472,225.92, 708,356.16 and 191,736.96 is: 287,612.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,225.92 : 708,356.16 = 191,736.96 : x
  2. Step 2: Convert to fraction form
    472,225.92/708,356.16 = 191,736.96/x
  3. Step 3: Cross multiply
    472,225.92x = 708,356.16 × 191,736.96
  4. Step 4: Simplify right side
    472,225.92x = 135,818,056,715.67
  5. Step 5: Solve for x
    x = 135,818,056,715.67/472,225.92
  6. Step 6: Final answer
    x = 287,612.46

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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.