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Finding the Fourth Proportional to 292,058.64, 403,031.88 and 164,732.40

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Solution

The fourth proportional to 292,058.64, 403,031.88 and 164,732.40 is: 227,325.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,058.64 : 403,031.88 = 164,732.40 : x
  2. Step 2: Convert to fraction form
    292,058.64/403,031.88 = 164,732.40/x
  3. Step 3: Cross multiply
    292,058.64x = 403,031.88 × 164,732.40
  4. Step 4: Simplify right side
    292,058.64x = 66,392,408,868.91
  5. Step 5: Solve for x
    x = 66,392,408,868.91/292,058.64
  6. Step 6: Final answer
    x = 227,325.61

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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.