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Finding the Fourth Proportional to 506,597.03, 699,101.38 and 277,150.16

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Solution

The fourth proportional to 506,597.03, 699,101.38 and 277,150.16 is: 382,465.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,597.03 : 699,101.38 = 277,150.16 : x
  2. Step 2: Convert to fraction form
    506,597.03/699,101.38 = 277,150.16/x
  3. Step 3: Cross multiply
    506,597.03x = 699,101.38 × 277,150.16
  4. Step 4: Simplify right side
    506,597.03x = 193,756,057,484.97
  5. Step 5: Solve for x
    x = 193,756,057,484.97/506,597.03
  6. Step 6: Final answer
    x = 382,465.83

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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.