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Finding the Fourth Proportional to 423,174.88, 583,992.09 and 232,188.22

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Solution

The fourth proportional to 423,174.88, 583,992.09 and 232,188.22 is: 320,425.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,174.88 : 583,992.09 = 232,188.22 : x
  2. Step 2: Convert to fraction form
    423,174.88/583,992.09 = 232,188.22/x
  3. Step 3: Cross multiply
    423,174.88x = 583,992.09 × 232,188.22
  4. Step 4: Simplify right side
    423,174.88x = 135,596,083,871.18
  5. Step 5: Solve for x
    x = 135,596,083,871.18/423,174.88
  6. Step 6: Final answer
    x = 320,425.64

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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.