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Finding the Fourth Proportional to 413,603.57, 620,714.16 and 307,233.15

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Solution

The fourth proportional to 413,603.57, 620,714.16 and 307,233.15 is: 461,079.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,603.57 : 620,714.16 = 307,233.15 : x
  2. Step 2: Convert to fraction form
    413,603.57/620,714.16 = 307,233.15/x
  3. Step 3: Cross multiply
    413,603.57x = 620,714.16 × 307,233.15
  4. Step 4: Simplify right side
    413,603.57x = 190,703,966,626.40
  5. Step 5: Solve for x
    x = 190,703,966,626.40/413,603.57
  6. Step 6: Final answer
    x = 461,079.11

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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.