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Finding the Fourth Proportional to 429,503.40, 592,742.12 and 238,516.79

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Solution

The fourth proportional to 429,503.40, 592,742.12 and 238,516.79 is: 329,168.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,503.40 : 592,742.12 = 238,516.79 : x
  2. Step 2: Convert to fraction form
    429,503.40/592,742.12 = 238,516.79/x
  3. Step 3: Cross multiply
    429,503.40x = 592,742.12 × 238,516.79
  4. Step 4: Simplify right side
    429,503.40x = 141,378,943,603.90
  5. Step 5: Solve for x
    x = 141,378,943,603.90/429,503.40
  6. Step 6: Final answer
    x = 329,168.39

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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.