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Finding the Fourth Proportional to 423,010.16, 583,770.36 and 232,031.60

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Solution

The fourth proportional to 423,010.16, 583,770.36 and 232,031.60 is: 320,212.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,010.16 : 583,770.36 = 232,031.60 : x
  2. Step 2: Convert to fraction form
    423,010.16/583,770.36 = 232,031.60/x
  3. Step 3: Cross multiply
    423,010.16x = 583,770.36 × 232,031.60
  4. Step 4: Simplify right side
    423,010.16x = 135,453,170,663.38
  5. Step 5: Solve for x
    x = 135,453,170,663.38/423,010.16
  6. Step 6: Final answer
    x = 320,212.57

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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.