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Finding the Fourth Proportional to 416,187.40, 624,281.10 and 402,409.30

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Solution

The fourth proportional to 416,187.40, 624,281.10 and 402,409.30 is: 603,613.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,187.40 : 624,281.10 = 402,409.30 : x
  2. Step 2: Convert to fraction form
    416,187.40/624,281.10 = 402,409.30/x
  3. Step 3: Cross multiply
    416,187.40x = 624,281.10 × 402,409.30
  4. Step 4: Simplify right side
    416,187.40x = 251,216,520,454.23
  5. Step 5: Solve for x
    x = 251,216,520,454.23/416,187.40
  6. Step 6: Final answer
    x = 603,613.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.