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Finding the Fourth Proportional to 455,725.71, 684,017.55 and 231,247.22

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Solution

The fourth proportional to 455,725.71, 684,017.55 and 231,247.22 is: 347,088.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,725.71 : 684,017.55 = 231,247.22 : x
  2. Step 2: Convert to fraction form
    455,725.71/684,017.55 = 231,247.22/x
  3. Step 3: Cross multiply
    455,725.71x = 684,017.55 × 231,247.22
  4. Step 4: Simplify right side
    455,725.71x = 158,177,153,448.62
  5. Step 5: Solve for x
    x = 158,177,153,448.62/455,725.71
  6. Step 6: Final answer
    x = 347,088.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.