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Finding the Fourth Proportional to 406,963.98, 610,533.45 and 137,118.94

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Solution

The fourth proportional to 406,963.98, 610,533.45 and 137,118.94 is: 205,707.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,963.98 : 610,533.45 = 137,118.94 : x
  2. Step 2: Convert to fraction form
    406,963.98/610,533.45 = 137,118.94/x
  3. Step 3: Cross multiply
    406,963.98x = 610,533.45 × 137,118.94
  4. Step 4: Simplify right side
    406,963.98x = 83,715,697,972.21
  5. Step 5: Solve for x
    x = 83,715,697,972.21/406,963.98
  6. Step 6: Final answer
    x = 205,707.88

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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.