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Finding the Fourth Proportional to 413,532.33, 620,006.58 and 160,602.13

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Solution

The fourth proportional to 413,532.33, 620,006.58 and 160,602.13 is: 240,789.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,532.33 : 620,006.58 = 160,602.13 : x
  2. Step 2: Convert to fraction form
    413,532.33/620,006.58 = 160,602.13/x
  3. Step 3: Cross multiply
    413,532.33x = 620,006.58 × 160,602.13
  4. Step 4: Simplify right side
    413,532.33x = 99,574,377,362.02
  5. Step 5: Solve for x
    x = 99,574,377,362.02/413,532.33
  6. Step 6: Final answer
    x = 240,789.82

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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.