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Finding the Fourth Proportional to 376,217.40, 564,473 and 165,707.76

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Solution

The fourth proportional to 376,217.40, 564,473 and 165,707.76 is: 248,626.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,217.40 : 564,473 = 165,707.76 : x
  2. Step 2: Convert to fraction form
    376,217.40/564,473 = 165,707.76/x
  3. Step 3: Cross multiply
    376,217.40x = 564,473 × 165,707.76
  4. Step 4: Simplify right side
    376,217.40x = 93,537,556,410.48
  5. Step 5: Solve for x
    x = 93,537,556,410.48/376,217.40
  6. Step 6: Final answer
    x = 248,626.34

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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.