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Finding the Fourth Proportional to 406,804.44, 610,308.26 and 287,095.04

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Solution

The fourth proportional to 406,804.44, 610,308.26 and 287,095.04 is: 430,714.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,804.44 : 610,308.26 = 287,095.04 : x
  2. Step 2: Convert to fraction form
    406,804.44/610,308.26 = 287,095.04/x
  3. Step 3: Cross multiply
    406,804.44x = 610,308.26 × 287,095.04
  4. Step 4: Simplify right side
    406,804.44x = 175,216,474,317.03
  5. Step 5: Solve for x
    x = 175,216,474,317.03/406,804.44
  6. Step 6: Final answer
    x = 430,714.26

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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.