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Finding the Fourth Proportional to 535,780.46, 803,111.76 and 180,672.38

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Solution

The fourth proportional to 535,780.46, 803,111.76 and 180,672.38 is: 270,820.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,780.46 : 803,111.76 = 180,672.38 : x
  2. Step 2: Convert to fraction form
    535,780.46/803,111.76 = 180,672.38/x
  3. Step 3: Cross multiply
    535,780.46x = 803,111.76 × 180,672.38
  4. Step 4: Simplify right side
    535,780.46x = 145,100,113,085.19
  5. Step 5: Solve for x
    x = 145,100,113,085.19/535,780.46
  6. Step 6: Final answer
    x = 270,820.09

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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.