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Finding the Fourth Proportional to 416,381.31, 624,569.89 and 100,838.22

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Solution

The fourth proportional to 416,381.31, 624,569.89 and 100,838.22 is: 151,256.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,381.31 : 624,569.89 = 100,838.22 : x
  2. Step 2: Convert to fraction form
    416,381.31/624,569.89 = 100,838.22/x
  3. Step 3: Cross multiply
    416,381.31x = 624,569.89 × 100,838.22
  4. Step 4: Simplify right side
    416,381.31x = 62,980,512,598.25
  5. Step 5: Solve for x
    x = 62,980,512,598.25/416,381.31
  6. Step 6: Final answer
    x = 151,256.82

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1.5x scale

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.