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Finding the Fourth Proportional to 413,602.57, 620,712.66 and 307,232.15

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Solution

The fourth proportional to 413,602.57, 620,712.66 and 307,232.15 is: 461,077.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,602.57 : 620,712.66 = 307,232.15 : x
  2. Step 2: Convert to fraction form
    413,602.57/620,712.66 = 307,232.15/x
  3. Step 3: Cross multiply
    413,602.57x = 620,712.66 × 307,232.15
  4. Step 4: Simplify right side
    413,602.57x = 190,702,885,064.02
  5. Step 5: Solve for x
    x = 190,702,885,064.02/413,602.57
  6. Step 6: Final answer
    x = 461,077.61

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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.