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Finding the Fourth Proportional to 427,886.42, 590,483.30 and 234,306.34

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Solution

The fourth proportional to 427,886.42, 590,483.30 and 234,306.34 is: 323,342.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,886.42 : 590,483.30 = 234,306.34 : x
  2. Step 2: Convert to fraction form
    427,886.42/590,483.30 = 234,306.34/x
  3. Step 3: Cross multiply
    427,886.42x = 590,483.30 × 234,306.34
  4. Step 4: Simplify right side
    427,886.42x = 138,353,978,206.38
  5. Step 5: Solve for x
    x = 138,353,978,206.38/427,886.42
  6. Step 6: Final answer
    x = 323,342.77

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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.