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Finding the Fourth Proportional to 429,014.77, 592,040.47 and 238,027.70

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Solution

The fourth proportional to 429,014.77, 592,040.47 and 238,027.70 is: 328,478.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,014.77 : 592,040.47 = 238,027.70 : x
  2. Step 2: Convert to fraction form
    429,014.77/592,040.47 = 238,027.70/x
  3. Step 3: Cross multiply
    429,014.77x = 592,040.47 × 238,027.70
  4. Step 4: Simplify right side
    429,014.77x = 140,922,031,381.02
  5. Step 5: Solve for x
    x = 140,922,031,381.02/429,014.77
  6. Step 6: Final answer
    x = 328,478.27

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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.