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Finding the Fourth Proportional to 684,809.53, 945,339.77 and 409,264.59

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Solution

The fourth proportional to 684,809.53, 945,339.77 and 409,264.59 is: 564,965.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,809.53 : 945,339.77 = 409,264.59 : x
  2. Step 2: Convert to fraction form
    684,809.53/945,339.77 = 409,264.59/x
  3. Step 3: Cross multiply
    684,809.53x = 945,339.77 × 409,264.59
  4. Step 4: Simplify right side
    684,809.53x = 386,894,093,379.74
  5. Step 5: Solve for x
    x = 386,894,093,379.74/684,809.53
  6. Step 6: Final answer
    x = 564,965.99

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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.