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Finding the Fourth Proportional to 296,390.52, 409,018.88 and 160,424.43

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Solution

The fourth proportional to 296,390.52, 409,018.88 and 160,424.43 is: 221,385.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,390.52 : 409,018.88 = 160,424.43 : x
  2. Step 2: Convert to fraction form
    296,390.52/409,018.88 = 160,424.43/x
  3. Step 3: Cross multiply
    296,390.52x = 409,018.88 × 160,424.43
  4. Step 4: Simplify right side
    296,390.52x = 65,616,619,881.12
  5. Step 5: Solve for x
    x = 65,616,619,881.12/296,390.52
  6. Step 6: Final answer
    x = 221,385.69

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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.