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Finding the Fourth Proportional to 535,533, 803,266.83 and 219,981.84

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Solution

The fourth proportional to 535,533, 803,266.83 and 219,981.84 is: 329,959.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,533 : 803,266.83 = 219,981.84 : x
  2. Step 2: Convert to fraction form
    535,533/803,266.83 = 219,981.84/x
  3. Step 3: Cross multiply
    535,533x = 803,266.83 × 219,981.84
  4. Step 4: Simplify right side
    535,533x = 176,704,115,274.37
  5. Step 5: Solve for x
    x = 176,704,115,274.37/535,533
  6. Step 6: Final answer
    x = 329,959.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.