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Finding the Fourth Proportional to 406,651.50, 609,731.10 and 181,970.01

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Solution

The fourth proportional to 406,651.50, 609,731.10 and 181,970.01 is: 272,844.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,651.50 : 609,731.10 = 181,970.01 : x
  2. Step 2: Convert to fraction form
    406,651.50/609,731.10 = 181,970.01/x
  3. Step 3: Cross multiply
    406,651.50x = 609,731.10 × 181,970.01
  4. Step 4: Simplify right side
    406,651.50x = 110,952,774,364.31
  5. Step 5: Solve for x
    x = 110,952,774,364.31/406,651.50
  6. Step 6: Final answer
    x = 272,844.87

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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.