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Finding the Fourth Proportional to 378,598, 567,730.68 and 141,774.58

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Solution

The fourth proportional to 378,598, 567,730.68 and 141,774.58 is: 212,599.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,598 : 567,730.68 = 141,774.58 : x
  2. Step 2: Convert to fraction form
    378,598/567,730.68 = 141,774.58/x
  3. Step 3: Cross multiply
    378,598x = 567,730.68 × 141,774.58
  4. Step 4: Simplify right side
    378,598x = 80,489,778,710.11
  5. Step 5: Solve for x
    x = 80,489,778,710.11/378,598
  6. Step 6: Final answer
    x = 212,599.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.