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Finding the Fourth Proportional to 429,004.95, 592,026.91 and 238,017.89

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Solution

The fourth proportional to 429,004.95, 592,026.91 and 238,017.89 is: 328,464.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,004.95 : 592,026.91 = 238,017.89 : x
  2. Step 2: Convert to fraction form
    429,004.95/592,026.91 = 238,017.89/x
  3. Step 3: Cross multiply
    429,004.95x = 592,026.91 × 238,017.89
  4. Step 4: Simplify right side
    429,004.95x = 140,912,991,791.20
  5. Step 5: Solve for x
    x = 140,912,991,791.20/429,004.95
  6. Step 6: Final answer
    x = 328,464.72

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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.