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Finding the Fourth Proportional to 506,742.54, 699,293.91 and 277,298.90

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Solution

The fourth proportional to 506,742.54, 699,293.91 and 277,298.90 is: 382,666.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,742.54 : 699,293.91 = 277,298.90 : x
  2. Step 2: Convert to fraction form
    506,742.54/699,293.91 = 277,298.90/x
  3. Step 3: Cross multiply
    506,742.54x = 699,293.91 × 277,298.90
  4. Step 4: Simplify right side
    506,742.54x = 193,913,430,230.03
  5. Step 5: Solve for x
    x = 193,913,430,230.03/506,742.54
  6. Step 6: Final answer
    x = 382,666.57

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