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Finding the Fourth Proportional to 294,031.76, 440,928.91 and 114,022.40

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Solution

The fourth proportional to 294,031.76, 440,928.91 and 114,022.40 is: 170,987.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,031.76 : 440,928.91 = 114,022.40 : x
  2. Step 2: Convert to fraction form
    294,031.76/440,928.91 = 114,022.40/x
  3. Step 3: Cross multiply
    294,031.76x = 440,928.91 × 114,022.40
  4. Step 4: Simplify right side
    294,031.76x = 50,275,772,547.58
  5. Step 5: Solve for x
    x = 50,275,772,547.58/294,031.76
  6. Step 6: Final answer
    x = 170,987.56

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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.