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Finding the Fourth Proportional to 406,977.60, 610,466.40 and 300,689.40

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Solution

The fourth proportional to 406,977.60, 610,466.40 and 300,689.40 is: 451,034.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,977.60 : 610,466.40 = 300,689.40 : x
  2. Step 2: Convert to fraction form
    406,977.60/610,466.40 = 300,689.40/x
  3. Step 3: Cross multiply
    406,977.60x = 610,466.40 × 300,689.40
  4. Step 4: Simplify right side
    406,977.60x = 183,560,775,536.16
  5. Step 5: Solve for x
    x = 183,560,775,536.16/406,977.60
  6. Step 6: Final answer
    x = 451,034.10

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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.