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Finding the Fourth Proportional to 684,158, 944,167.20 and 382,352

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Solution

The fourth proportional to 684,158, 944,167.20 and 382,352 is: 527,662.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,158 : 944,167.20 = 382,352 : x
  2. Step 2: Convert to fraction form
    684,158/944,167.20 = 382,352/x
  3. Step 3: Cross multiply
    684,158x = 944,167.20 × 382,352
  4. Step 4: Simplify right side
    684,158x = 361,004,217,254.40
  5. Step 5: Solve for x
    x = 361,004,217,254.40/684,158
  6. Step 6: Final answer
    x = 527,662.06

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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.