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Finding the Fourth Proportional to 506,719.95, 699,282.39 and 277,297.58

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Solution

The fourth proportional to 506,719.95, 699,282.39 and 277,297.58 is: 382,675.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,719.95 : 699,282.39 = 277,297.58 : x
  2. Step 2: Convert to fraction form
    506,719.95/699,282.39 = 277,297.58/x
  3. Step 3: Cross multiply
    506,719.95x = 699,282.39 × 277,297.58
  4. Step 4: Simplify right side
    506,719.95x = 193,909,312,558.33
  5. Step 5: Solve for x
    x = 193,909,312,558.33/506,719.95
  6. Step 6: Final answer
    x = 382,675.50

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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.