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Finding the Fourth Proportional to 416,006.49, 624,090.65 and 159,820.40

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Solution

The fourth proportional to 416,006.49, 624,090.65 and 159,820.40 is: 239,761.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,006.49 : 624,090.65 = 159,820.40 : x
  2. Step 2: Convert to fraction form
    416,006.49/624,090.65 = 159,820.40/x
  3. Step 3: Cross multiply
    416,006.49x = 624,090.65 × 159,820.40
  4. Step 4: Simplify right side
    416,006.49x = 99,742,413,399.70
  5. Step 5: Solve for x
    x = 99,742,413,399.70/416,006.49
  6. Step 6: Final answer
    x = 239,761.68

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1.5x scale

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.