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Finding the Fourth Proportional to 684,241, 944,281.74 and 382,435

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Solution

The fourth proportional to 684,241, 944,281.74 and 382,435 is: 527,776.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,241 : 944,281.74 = 382,435 : x
  2. Step 2: Convert to fraction form
    684,241/944,281.74 = 382,435/x
  3. Step 3: Cross multiply
    684,241x = 944,281.74 × 382,435
  4. Step 4: Simplify right side
    684,241x = 361,126,387,236.90
  5. Step 5: Solve for x
    x = 361,126,387,236.90/684,241
  6. Step 6: Final answer
    x = 527,776.60

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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.