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Finding the Fourth Proportional to 416,373.46, 624,289.55 and 163,678.68

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Solution

The fourth proportional to 416,373.46, 624,289.55 and 163,678.68 is: 245,411.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,373.46 : 624,289.55 = 163,678.68 : x
  2. Step 2: Convert to fraction form
    416,373.46/624,289.55 = 163,678.68/x
  3. Step 3: Cross multiply
    416,373.46x = 624,289.55 × 163,678.68
  4. Step 4: Simplify right side
    416,373.46x = 102,182,888,663.40
  5. Step 5: Solve for x
    x = 102,182,888,663.40/416,373.46
  6. Step 6: Final answer
    x = 245,411.63

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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.