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Finding the Fourth Proportional to 556,297.67, 767,691.22 and 301,648.86

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Solution

The fourth proportional to 556,297.67, 767,691.22 and 301,648.86 is: 416,275.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,297.67 : 767,691.22 = 301,648.86 : x
  2. Step 2: Convert to fraction form
    556,297.67/767,691.22 = 301,648.86/x
  3. Step 3: Cross multiply
    556,297.67x = 767,691.22 × 301,648.86
  4. Step 4: Simplify right side
    556,297.67x = 231,573,181,156.48
  5. Step 5: Solve for x
    x = 231,573,181,156.48/556,297.67
  6. Step 6: Final answer
    x = 416,275.66

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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.