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Finding the Fourth Proportional to 296,058.61, 408,536.05 and 175,178.72

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Solution

The fourth proportional to 296,058.61, 408,536.05 and 175,178.72 is: 241,731.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,058.61 : 408,536.05 = 175,178.72 : x
  2. Step 2: Convert to fraction form
    296,058.61/408,536.05 = 175,178.72/x
  3. Step 3: Cross multiply
    296,058.61x = 408,536.05 × 175,178.72
  4. Step 4: Simplify right side
    296,058.61x = 71,566,819,832.23
  5. Step 5: Solve for x
    x = 71,566,819,832.23/296,058.61
  6. Step 6: Final answer
    x = 241,731.93

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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.