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Finding the Fourth Proportional to 375,063.40, 517,567.46 and 205,264.68

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Solution

The fourth proportional to 375,063.40, 517,567.46 and 205,264.68 is: 283,254.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,063.40 : 517,567.46 = 205,264.68 : x
  2. Step 2: Convert to fraction form
    375,063.40/517,567.46 = 205,264.68/x
  3. Step 3: Cross multiply
    375,063.40x = 517,567.46 × 205,264.68
  4. Step 4: Simplify right side
    375,063.40x = 106,238,319,055.31
  5. Step 5: Solve for x
    x = 106,238,319,055.31/375,063.40
  6. Step 6: Final answer
    x = 283,254.30

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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.