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Finding the Fourth Proportional to 429,511.84, 592,735.76 and 238,522.40

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Solution

The fourth proportional to 429,511.84, 592,735.76 and 238,522.40 is: 329,166.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,511.84 : 592,735.76 = 238,522.40 : x
  2. Step 2: Convert to fraction form
    429,511.84/592,735.76 = 238,522.40/x
  3. Step 3: Cross multiply
    429,511.84x = 592,735.76 × 238,522.40
  4. Step 4: Simplify right side
    429,511.84x = 141,380,756,041.02
  5. Step 5: Solve for x
    x = 141,380,756,041.02/429,511.84
  6. Step 6: Final answer
    x = 329,166.14

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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.