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Finding the Fourth Proportional to 535,264.82, 802,897.83 and 180,249.11

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Solution

The fourth proportional to 535,264.82, 802,897.83 and 180,249.11 is: 270,373.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,264.82 : 802,897.83 = 180,249.11 : x
  2. Step 2: Convert to fraction form
    535,264.82/802,897.83 = 180,249.11/x
  3. Step 3: Cross multiply
    535,264.82x = 802,897.83 × 180,249.11
  4. Step 4: Simplify right side
    535,264.82x = 144,721,615,263.94
  5. Step 5: Solve for x
    x = 144,721,615,263.94/535,264.82
  6. Step 6: Final answer
    x = 270,373.86

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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.