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Finding the Fourth Proportional to 375,203.34, 517,779.54 and 205,436.25

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Solution

The fourth proportional to 375,203.34, 517,779.54 and 205,436.25 is: 283,501.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,203.34 : 517,779.54 = 205,436.25 : x
  2. Step 2: Convert to fraction form
    375,203.34/517,779.54 = 205,436.25/x
  3. Step 3: Cross multiply
    375,203.34x = 517,779.54 × 205,436.25
  4. Step 4: Simplify right side
    375,203.34x = 106,370,687,024.33
  5. Step 5: Solve for x
    x = 106,370,687,024.33/375,203.34
  6. Step 6: Final answer
    x = 283,501.44

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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.