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Finding the Fourth Proportional to 416,390.22, 624,491.91 and 191,534.72

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Solution

The fourth proportional to 416,390.22, 624,491.91 and 191,534.72 is: 287,259.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,390.22 : 624,491.91 = 191,534.72 : x
  2. Step 2: Convert to fraction form
    416,390.22/624,491.91 = 191,534.72/x
  3. Step 3: Cross multiply
    416,390.22x = 624,491.91 × 191,534.72
  4. Step 4: Simplify right side
    416,390.22x = 119,611,880,001.66
  5. Step 5: Solve for x
    x = 119,611,880,001.66/416,390.22
  6. Step 6: Final answer
    x = 287,259.10

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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.