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Finding the Fourth Proportional to 429,064.83, 592,107.57 and 238,077.77

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Solution

The fourth proportional to 429,064.83, 592,107.57 and 238,077.77 is: 328,546.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,064.83 : 592,107.57 = 238,077.77 : x
  2. Step 2: Convert to fraction form
    429,064.83/592,107.57 = 238,077.77/x
  3. Step 3: Cross multiply
    429,064.83x = 592,107.57 × 238,077.77
  4. Step 4: Simplify right side
    429,064.83x = 140,967,646,905.18
  5. Step 5: Solve for x
    x = 140,967,646,905.18/429,064.83
  6. Step 6: Final answer
    x = 328,546.26

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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.