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Finding the Fourth Proportional to 295,662, 407,534.40 and 231,018.24

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Solution

The fourth proportional to 295,662, 407,534.40 and 231,018.24 is: 318,430.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,662 : 407,534.40 = 231,018.24 : x
  2. Step 2: Convert to fraction form
    295,662/407,534.40 = 231,018.24/x
  3. Step 3: Cross multiply
    295,662x = 407,534.40 × 231,018.24
  4. Step 4: Simplify right side
    295,662x = 94,147,879,827.46
  5. Step 5: Solve for x
    x = 94,147,879,827.46/295,662
  6. Step 6: Final answer
    x = 318,430.78

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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.