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Finding the Fourth Proportional to 535,838.31, 803,681.73 and 180,805.59

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Solution

The fourth proportional to 535,838.31, 803,681.73 and 180,805.59 is: 271,182.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,838.31 : 803,681.73 = 180,805.59 : x
  2. Step 2: Convert to fraction form
    535,838.31/803,681.73 = 180,805.59/x
  3. Step 3: Cross multiply
    535,838.31x = 803,681.73 × 180,805.59
  4. Step 4: Simplify right side
    535,838.31x = 145,310,149,364.87
  5. Step 5: Solve for x
    x = 145,310,149,364.87/535,838.31
  6. Step 6: Final answer
    x = 271,182.83

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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.