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Finding the Fourth Proportional to 562,072.88, 842,939.16 and 295,686.48

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Solution

The fourth proportional to 562,072.88, 842,939.16 and 295,686.48 is: 443,440.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,072.88 : 842,939.16 = 295,686.48 : x
  2. Step 2: Convert to fraction form
    562,072.88/842,939.16 = 295,686.48/x
  3. Step 3: Cross multiply
    562,072.88x = 842,939.16 × 295,686.48
  4. Step 4: Simplify right side
    562,072.88x = 249,245,713,074.56
  5. Step 5: Solve for x
    x = 249,245,713,074.56/562,072.88
  6. Step 6: Final answer
    x = 443,440.20

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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.