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Finding the Fourth Proportional to 334,442.40, 501,597.99 and 165,785.82

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Solution

The fourth proportional to 334,442.40, 501,597.99 and 165,785.82 is: 248,646.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,442.40 : 501,597.99 = 165,785.82 : x
  2. Step 2: Convert to fraction form
    334,442.40/501,597.99 = 165,785.82/x
  3. Step 3: Cross multiply
    334,442.40x = 501,597.99 × 165,785.82
  4. Step 4: Simplify right side
    334,442.40x = 83,157,834,082.50
  5. Step 5: Solve for x
    x = 83,157,834,082.50/334,442.40
  6. Step 6: Final answer
    x = 248,646.21

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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.