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Finding the Fourth Proportional to 423,262.16, 584,108.94 and 232,293.32

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Solution

The fourth proportional to 423,262.16, 584,108.94 and 232,293.32 is: 320,568.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,262.16 : 584,108.94 = 232,293.32 : x
  2. Step 2: Convert to fraction form
    423,262.16/584,108.94 = 232,293.32/x
  3. Step 3: Cross multiply
    423,262.16x = 584,108.94 × 232,293.32
  4. Step 4: Simplify right side
    423,262.16x = 135,684,604,914.28
  5. Step 5: Solve for x
    x = 135,684,604,914.28/423,262.16
  6. Step 6: Final answer
    x = 320,568.71

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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.