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Finding the Fourth Proportional to 506,745.91, 699,309.42 and 277,303.25

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Solution

The fourth proportional to 506,745.91, 699,309.42 and 277,303.25 is: 382,678.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,745.91 : 699,309.42 = 277,303.25 : x
  2. Step 2: Convert to fraction form
    506,745.91/699,309.42 = 277,303.25/x
  3. Step 3: Cross multiply
    506,745.91x = 699,309.42 × 277,303.25
  4. Step 4: Simplify right side
    506,745.91x = 193,920,773,256.22
  5. Step 5: Solve for x
    x = 193,920,773,256.22/506,745.91
  6. Step 6: Final answer
    x = 382,678.52

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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.