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Finding the Fourth Proportional to 375,854.34, 563,864.46 and 109,635.69

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Solution

The fourth proportional to 375,854.34, 563,864.46 and 109,635.69 is: 164,477.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,854.34 : 563,864.46 = 109,635.69 : x
  2. Step 2: Convert to fraction form
    375,854.34/563,864.46 = 109,635.69/x
  3. Step 3: Cross multiply
    375,854.34x = 563,864.46 × 109,635.69
  4. Step 4: Simplify right side
    375,854.34x = 61,819,669,138.58
  5. Step 5: Solve for x
    x = 61,819,669,138.58/375,854.34
  6. Step 6: Final answer
    x = 164,477.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.