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Finding the Fourth Proportional to 512,105.86, 706,706.15 and 282,663.20

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Solution

The fourth proportional to 512,105.86, 706,706.15 and 282,663.20 is: 390,075.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,105.86 : 706,706.15 = 282,663.20 : x
  2. Step 2: Convert to fraction form
    512,105.86/706,706.15 = 282,663.20/x
  3. Step 3: Cross multiply
    512,105.86x = 706,706.15 × 282,663.20
  4. Step 4: Simplify right side
    512,105.86x = 199,759,822,569.62
  5. Step 5: Solve for x
    x = 199,759,822,569.62/512,105.86
  6. Step 6: Final answer
    x = 390,075.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.