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Finding the Fourth Proportional to 416,472.16, 624,965.28 and 163,708.42

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Solution

The fourth proportional to 416,472.16, 624,965.28 and 163,708.42 is: 245,663.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,472.16 : 624,965.28 = 163,708.42 : x
  2. Step 2: Convert to fraction form
    416,472.16/624,965.28 = 163,708.42/x
  3. Step 3: Cross multiply
    416,472.16x = 624,965.28 × 163,708.42
  4. Step 4: Simplify right side
    416,472.16x = 102,312,078,543.66
  5. Step 5: Solve for x
    x = 102,312,078,543.66/416,472.16
  6. Step 6: Final answer
    x = 245,663.67

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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.