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Finding the Fourth Proportional to 416,289.30, 624,437.49 and 100,746.42

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Solution

The fourth proportional to 416,289.30, 624,437.49 and 100,746.42 is: 151,120.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,289.30 : 624,437.49 = 100,746.42 : x
  2. Step 2: Convert to fraction form
    416,289.30/624,437.49 = 100,746.42/x
  3. Step 3: Cross multiply
    416,289.30x = 624,437.49 × 100,746.42
  4. Step 4: Simplify right side
    416,289.30x = 62,909,841,631.29
  5. Step 5: Solve for x
    x = 62,909,841,631.29/416,289.30
  6. Step 6: Final answer
    x = 151,120.49

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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.