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Finding the Fourth Proportional to 416,184.96, 624,262.86 and 116,663.16

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Solution

The fourth proportional to 416,184.96, 624,262.86 and 116,663.16 is: 174,990.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,184.96 : 624,262.86 = 116,663.16 : x
  2. Step 2: Convert to fraction form
    416,184.96/624,262.86 = 116,663.16/x
  3. Step 3: Cross multiply
    416,184.96x = 624,262.86 × 116,663.16
  4. Step 4: Simplify right side
    416,184.96x = 72,828,477,918.24
  5. Step 5: Solve for x
    x = 72,828,477,918.24/416,184.96
  6. Step 6: Final answer
    x = 174,990.65

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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.