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Finding the Fourth Proportional to 508,647.08, 701,934.90 and 282,292.58

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Solution

The fourth proportional to 508,647.08, 701,934.90 and 282,292.58 is: 389,564.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,647.08 : 701,934.90 = 282,292.58 : x
  2. Step 2: Convert to fraction form
    508,647.08/701,934.90 = 282,292.58/x
  3. Step 3: Cross multiply
    508,647.08x = 701,934.90 × 282,292.58
  4. Step 4: Simplify right side
    508,647.08x = 198,151,013,913.04
  5. Step 5: Solve for x
    x = 198,151,013,913.04/508,647.08
  6. Step 6: Final answer
    x = 389,564.83

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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.