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Finding the Fourth Proportional to 295,031.36, 407,139.54 and 167,698.64

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Solution

The fourth proportional to 295,031.36, 407,139.54 and 167,698.64 is: 231,422.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,031.36 : 407,139.54 = 167,698.64 : x
  2. Step 2: Convert to fraction form
    295,031.36/407,139.54 = 167,698.64/x
  3. Step 3: Cross multiply
    295,031.36x = 407,139.54 × 167,698.64
  4. Step 4: Simplify right side
    295,031.36x = 68,276,747,148.23
  5. Step 5: Solve for x
    x = 68,276,747,148.23/295,031.36
  6. Step 6: Final answer
    x = 231,422.00

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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.