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Finding the Fourth Proportional to 338,213.66, 507,398.24 and 101,560.82

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Solution

The fourth proportional to 338,213.66, 507,398.24 and 101,560.82 is: 152,364.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,213.66 : 507,398.24 = 101,560.82 : x
  2. Step 2: Convert to fraction form
    338,213.66/507,398.24 = 101,560.82/x
  3. Step 3: Cross multiply
    338,213.66x = 507,398.24 × 101,560.82
  4. Step 4: Simplify right side
    338,213.66x = 51,531,779,037.87
  5. Step 5: Solve for x
    x = 51,531,779,037.87/338,213.66
  6. Step 6: Final answer
    x = 152,364.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.