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Finding the Fourth Proportional to 402,857.60, 603,630.30 and 296,569.40

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Solution

The fourth proportional to 402,857.60, 603,630.30 and 296,569.40 is: 444,371.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,857.60 : 603,630.30 = 296,569.40 : x
  2. Step 2: Convert to fraction form
    402,857.60/603,630.30 = 296,569.40/x
  3. Step 3: Cross multiply
    402,857.60x = 603,630.30 × 296,569.40
  4. Step 4: Simplify right side
    402,857.60x = 179,018,275,892.82
  5. Step 5: Solve for x
    x = 179,018,275,892.82/402,857.60
  6. Step 6: Final answer
    x = 444,371.10

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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.