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Finding the Fourth Proportional to 375,339.36, 517,960.80 and 205,572

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Solution

The fourth proportional to 375,339.36, 517,960.80 and 205,572 is: 283,685.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,339.36 : 517,960.80 = 205,572 : x
  2. Step 2: Convert to fraction form
    375,339.36/517,960.80 = 205,572/x
  3. Step 3: Cross multiply
    375,339.36x = 517,960.80 × 205,572
  4. Step 4: Simplify right side
    375,339.36x = 106,478,237,577.60
  5. Step 5: Solve for x
    x = 106,478,237,577.60/375,339.36
  6. Step 6: Final answer
    x = 283,685.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.