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Finding the Fourth Proportional to 416,222.88, 624,334.28 and 176,374.56

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Solution

The fourth proportional to 416,222.88, 624,334.28 and 176,374.56 is: 264,561.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,222.88 : 624,334.28 = 176,374.56 : x
  2. Step 2: Convert to fraction form
    416,222.88/624,334.28 = 176,374.56/x
  3. Step 3: Cross multiply
    416,222.88x = 624,334.28 × 176,374.56
  4. Step 4: Simplify right side
    416,222.88x = 110,116,683,927.92
  5. Step 5: Solve for x
    x = 110,116,683,927.92/416,222.88
  6. Step 6: Final answer
    x = 264,561.82

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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.