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Finding the Fourth Proportional to 416,475.66, 624,970.53 and 163,711.92

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Solution

The fourth proportional to 416,475.66, 624,970.53 and 163,711.92 is: 245,668.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,475.66 : 624,970.53 = 163,711.92 : x
  2. Step 2: Convert to fraction form
    416,475.66/624,970.53 = 163,711.92/x
  3. Step 3: Cross multiply
    416,475.66x = 624,970.53 × 163,711.92
  4. Step 4: Simplify right side
    416,475.66x = 102,315,125,409.72
  5. Step 5: Solve for x
    x = 102,315,125,409.72/416,475.66
  6. Step 6: Final answer
    x = 245,668.92

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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.