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Finding the Fourth Proportional to 684,874.29, 945,506.58 and 413,011.05

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Solution

The fourth proportional to 684,874.29, 945,506.58 and 413,011.05 is: 570,184.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,874.29 : 945,506.58 = 413,011.05 : x
  2. Step 2: Convert to fraction form
    684,874.29/945,506.58 = 413,011.05/x
  3. Step 3: Cross multiply
    684,874.29x = 945,506.58 × 413,011.05
  4. Step 4: Simplify right side
    684,874.29x = 390,504,665,387.71
  5. Step 5: Solve for x
    x = 390,504,665,387.71/684,874.29
  6. Step 6: Final answer
    x = 570,184.44

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1.5x scale

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.