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Finding the Fourth Proportional to 291,767, 402,638.46 and 157,631

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Solution

The fourth proportional to 291,767, 402,638.46 and 157,631 is: 217,530.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,767 : 402,638.46 = 157,631 : x
  2. Step 2: Convert to fraction form
    291,767/402,638.46 = 157,631/x
  3. Step 3: Cross multiply
    291,767x = 402,638.46 × 157,631
  4. Step 4: Simplify right side
    291,767x = 63,468,303,088.26
  5. Step 5: Solve for x
    x = 63,468,303,088.26/291,767
  6. Step 6: Final answer
    x = 217,530.78

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