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Finding the Fourth Proportional to 375,254.59, 517,841.23 and 214,106.71

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Solution

The fourth proportional to 375,254.59, 517,841.23 and 214,106.71 is: 295,461.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,254.59 : 517,841.23 = 214,106.71 : x
  2. Step 2: Convert to fraction form
    375,254.59/517,841.23 = 214,106.71/x
  3. Step 3: Cross multiply
    375,254.59x = 517,841.23 × 214,106.71
  4. Step 4: Simplify right side
    375,254.59x = 110,873,282,057.65
  5. Step 5: Solve for x
    x = 110,873,282,057.65/375,254.59
  6. Step 6: Final answer
    x = 295,461.49

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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.