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Finding the Fourth Proportional to 429,257.92, 592,346.28 and 238,256.28

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Solution

The fourth proportional to 429,257.92, 592,346.28 and 238,256.28 is: 328,777.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,257.92 : 592,346.28 = 238,256.28 : x
  2. Step 2: Convert to fraction form
    429,257.92/592,346.28 = 238,256.28/x
  3. Step 3: Cross multiply
    429,257.92x = 592,346.28 × 238,256.28
  4. Step 4: Simplify right side
    429,257.92x = 141,130,218,923.34
  5. Step 5: Solve for x
    x = 141,130,218,923.34/429,257.92
  6. Step 6: Final answer
    x = 328,777.20

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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.