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Finding the Fourth Proportional to 429,185.94, 592,269.21 and 238,207.38

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Solution

The fourth proportional to 429,185.94, 592,269.21 and 238,207.38 is: 328,722.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,185.94 : 592,269.21 = 238,207.38 : x
  2. Step 2: Convert to fraction form
    429,185.94/592,269.21 = 238,207.38/x
  3. Step 3: Cross multiply
    429,185.94x = 592,269.21 × 238,207.38
  4. Step 4: Simplify right side
    429,185.94x = 141,082,896,768.77
  5. Step 5: Solve for x
    x = 141,082,896,768.77/429,185.94
  6. Step 6: Final answer
    x = 328,722.08

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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.