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Finding the Fourth Proportional to 406,442.52, 609,663.84 and 169,656.03

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Solution

The fourth proportional to 406,442.52, 609,663.84 and 169,656.03 is: 254,484.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,442.52 : 609,663.84 = 169,656.03 : x
  2. Step 2: Convert to fraction form
    406,442.52/609,663.84 = 169,656.03/x
  3. Step 3: Cross multiply
    406,442.52x = 609,663.84 × 169,656.03
  4. Step 4: Simplify right side
    406,442.52x = 103,433,146,728.96
  5. Step 5: Solve for x
    x = 103,433,146,728.96/406,442.52
  6. Step 6: Final answer
    x = 254,484.07

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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.