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Finding the Fourth Proportional to 506,788.54, 699,368.10 and 277,345.97

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Solution

The fourth proportional to 506,788.54, 699,368.10 and 277,345.97 is: 382,737.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,788.54 : 699,368.10 = 277,345.97 : x
  2. Step 2: Convert to fraction form
    506,788.54/699,368.10 = 277,345.97/x
  3. Step 3: Cross multiply
    506,788.54x = 699,368.10 × 277,345.97
  4. Step 4: Simplify right side
    506,788.54x = 193,966,924,081.56
  5. Step 5: Solve for x
    x = 193,966,924,081.56/506,788.54
  6. Step 6: Final answer
    x = 382,737.39

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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.