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Finding the Fourth Proportional to 340,400.28, 469,765.23 and 187,445.16

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Solution

The fourth proportional to 340,400.28, 469,765.23 and 187,445.16 is: 258,681.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,400.28 : 469,765.23 = 187,445.16 : x
  2. Step 2: Convert to fraction form
    340,400.28/469,765.23 = 187,445.16/x
  3. Step 3: Cross multiply
    340,400.28x = 469,765.23 × 187,445.16
  4. Step 4: Simplify right side
    340,400.28x = 88,055,218,699.79
  5. Step 5: Solve for x
    x = 88,055,218,699.79/340,400.28
  6. Step 6: Final answer
    x = 258,681.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.