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Finding the Fourth Proportional to 386,248.49, 579,404.25 and 194,024.05

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Solution

The fourth proportional to 386,248.49, 579,404.25 and 194,024.05 is: 291,051.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,248.49 : 579,404.25 = 194,024.05 : x
  2. Step 2: Convert to fraction form
    386,248.49/579,404.25 = 194,024.05/x
  3. Step 3: Cross multiply
    386,248.49x = 579,404.25 × 194,024.05
  4. Step 4: Simplify right side
    386,248.49x = 112,418,355,305.07
  5. Step 5: Solve for x
    x = 112,418,355,305.07/386,248.49
  6. Step 6: Final answer
    x = 291,051.90

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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.