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Finding the Fourth Proportional to 314,948.82, 472,696.20 and 165,294.84

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Solution

The fourth proportional to 314,948.82, 472,696.20 and 165,294.84 is: 248,085.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,948.82 : 472,696.20 = 165,294.84 : x
  2. Step 2: Convert to fraction form
    314,948.82/472,696.20 = 165,294.84/x
  3. Step 3: Cross multiply
    314,948.82x = 472,696.20 × 165,294.84
  4. Step 4: Simplify right side
    314,948.82x = 78,134,242,747.61
  5. Step 5: Solve for x
    x = 78,134,242,747.61/314,948.82
  6. Step 6: Final answer
    x = 248,085.52

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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.