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Finding the Fourth Proportional to 375,052.50, 517,577.34 and 205,282.98

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Solution

The fourth proportional to 375,052.50, 517,577.34 and 205,282.98 is: 283,293.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,052.50 : 517,577.34 = 205,282.98 : x
  2. Step 2: Convert to fraction form
    375,052.50/517,577.34 = 205,282.98/x
  3. Step 3: Cross multiply
    375,052.50x = 517,577.34 × 205,282.98
  4. Step 4: Simplify right side
    375,052.50x = 106,249,818,735.67
  5. Step 5: Solve for x
    x = 106,249,818,735.67/375,052.50
  6. Step 6: Final answer
    x = 283,293.19

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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.