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Finding the Fourth Proportional to 684,154, 944,161.68 and 382,348

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Solution

The fourth proportional to 684,154, 944,161.68 and 382,348 is: 527,656.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,154 : 944,161.68 = 382,348 : x
  2. Step 2: Convert to fraction form
    684,154/944,161.68 = 382,348/x
  3. Step 3: Cross multiply
    684,154x = 944,161.68 × 382,348
  4. Step 4: Simplify right side
    684,154x = 360,998,330,024.64
  5. Step 5: Solve for x
    x = 360,998,330,024.64/684,154
  6. Step 6: Final answer
    x = 527,656.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.