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Finding the Fourth Proportional to 423,064.42, 583,825.73 and 232,076.54

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Solution

The fourth proportional to 423,064.42, 583,825.73 and 232,076.54 is: 320,263.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,064.42 : 583,825.73 = 232,076.54 : x
  2. Step 2: Convert to fraction form
    423,064.42/583,825.73 = 232,076.54/x
  3. Step 3: Cross multiply
    423,064.42x = 583,825.73 × 232,076.54
  4. Step 4: Simplify right side
    423,064.42x = 135,492,255,680.56
  5. Step 5: Solve for x
    x = 135,492,255,680.56/423,064.42
  6. Step 6: Final answer
    x = 320,263.89

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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.