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Finding the Fourth Proportional to 429,035.68, 592,069.24 and 238,050.44

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Solution

The fourth proportional to 429,035.68, 592,069.24 and 238,050.44 is: 328,509.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,035.68 : 592,069.24 = 238,050.44 : x
  2. Step 2: Convert to fraction form
    429,035.68/592,069.24 = 238,050.44/x
  3. Step 3: Cross multiply
    429,035.68x = 592,069.24 × 238,050.44
  4. Step 4: Simplify right side
    429,035.68x = 140,942,343,092.47
  5. Step 5: Solve for x
    x = 140,942,343,092.47/429,035.68
  6. Step 6: Final answer
    x = 328,509.61

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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.