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Finding the Fourth Proportional to 406,870.00, 610,180.40 and 281,317.06

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Solution

The fourth proportional to 406,870.00, 610,180.40 and 281,317.06 is: 421,889.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,870.00 : 610,180.40 = 281,317.06 : x
  2. Step 2: Convert to fraction form
    406,870.00/610,180.40 = 281,317.06/x
  3. Step 3: Cross multiply
    406,870.00x = 610,180.40 × 281,317.06
  4. Step 4: Simplify right side
    406,870.00x = 171,654,154,791.04
  5. Step 5: Solve for x
    x = 171,654,154,791.04/406,870.00
  6. Step 6: Final answer
    x = 421,889.44

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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.