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Finding the Fourth Proportional to 385,814.60, 578,721.90 and 133,094.60

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Solution

The fourth proportional to 385,814.60, 578,721.90 and 133,094.60 is: 199,641.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,814.60 : 578,721.90 = 133,094.60 : x
  2. Step 2: Convert to fraction form
    385,814.60/578,721.90 = 133,094.60/x
  3. Step 3: Cross multiply
    385,814.60x = 578,721.90 × 133,094.60
  4. Step 4: Simplify right side
    385,814.60x = 77,024,759,791.74
  5. Step 5: Solve for x
    x = 77,024,759,791.74/385,814.60
  6. Step 6: Final answer
    x = 199,641.90

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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.