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Finding the Fourth Proportional to 416,390.40, 624,492.09 and 191,534.85

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Solution

The fourth proportional to 416,390.40, 624,492.09 and 191,534.85 is: 287,259.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,390.40 : 624,492.09 = 191,534.85 : x
  2. Step 2: Convert to fraction form
    416,390.40/624,492.09 = 191,534.85/x
  3. Step 3: Cross multiply
    416,390.40x = 624,492.09 × 191,534.85
  4. Step 4: Simplify right side
    416,390.40x = 119,611,998,784.34
  5. Step 5: Solve for x
    x = 119,611,998,784.34/416,390.40
  6. Step 6: Final answer
    x = 287,259.26

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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.