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Finding the Fourth Proportional to 406,572.44, 610,417.32 and 207,026.96

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Solution

The fourth proportional to 406,572.44, 610,417.32 and 207,026.96 is: 310,824.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,572.44 : 610,417.32 = 207,026.96 : x
  2. Step 2: Convert to fraction form
    406,572.44/610,417.32 = 207,026.96/x
  3. Step 3: Cross multiply
    406,572.44x = 610,417.32 × 207,026.96
  4. Step 4: Simplify right side
    406,572.44x = 126,372,842,090.95
  5. Step 5: Solve for x
    x = 126,372,842,090.95/406,572.44
  6. Step 6: Final answer
    x = 310,824.91

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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.