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Finding the Fourth Proportional to 535,926.24, 804,006 and 180,925.11

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Solution

The fourth proportional to 535,926.24, 804,006 and 180,925.11 is: 271,427.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,926.24 : 804,006 = 180,925.11 : x
  2. Step 2: Convert to fraction form
    535,926.24/804,006 = 180,925.11/x
  3. Step 3: Cross multiply
    535,926.24x = 804,006 × 180,925.11
  4. Step 4: Simplify right side
    535,926.24x = 145,464,873,990.66
  5. Step 5: Solve for x
    x = 145,464,873,990.66/535,926.24
  6. Step 6: Final answer
    x = 271,427.04

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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.