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Finding the Fourth Proportional to 375,032.97, 517,416.81 and 213,771.69

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Solution

The fourth proportional to 375,032.97, 517,416.81 and 213,771.69 is: 294,931.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,032.97 : 517,416.81 = 213,771.69 : x
  2. Step 2: Convert to fraction form
    375,032.97/517,416.81 = 213,771.69/x
  3. Step 3: Cross multiply
    375,032.97x = 517,416.81 × 213,771.69
  4. Step 4: Simplify right side
    375,032.97x = 110,609,065,908.11
  5. Step 5: Solve for x
    x = 110,609,065,908.11/375,032.97
  6. Step 6: Final answer
    x = 294,931.58

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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.