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Finding the Fourth Proportional to 375,050.52, 517,574.54 and 205,281

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Solution

The fourth proportional to 375,050.52, 517,574.54 and 205,281 is: 283,290.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,050.52 : 517,574.54 = 205,281 : x
  2. Step 2: Convert to fraction form
    375,050.52/517,574.54 = 205,281/x
  3. Step 3: Cross multiply
    375,050.52x = 517,574.54 × 205,281
  4. Step 4: Simplify right side
    375,050.52x = 106,248,219,145.74
  5. Step 5: Solve for x
    x = 106,248,219,145.74/375,050.52
  6. Step 6: Final answer
    x = 283,290.42

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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.