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Finding the Fourth Proportional to 313,688.92, 432,841.98 and 186,361.24

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Solution

The fourth proportional to 313,688.92, 432,841.98 and 186,361.24 is: 257,149.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,688.92 : 432,841.98 = 186,361.24 : x
  2. Step 2: Convert to fraction form
    313,688.92/432,841.98 = 186,361.24/x
  3. Step 3: Cross multiply
    313,688.92x = 432,841.98 × 186,361.24
  4. Step 4: Simplify right side
    313,688.92x = 80,664,968,116.86
  5. Step 5: Solve for x
    x = 80,664,968,116.86/313,688.92
  6. Step 6: Final answer
    x = 257,149.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.