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Finding the Fourth Proportional to 553,067.70, 829,417.02 and 216,020.93

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Solution

The fourth proportional to 553,067.70, 829,417.02 and 216,020.93 is: 323,959.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,067.70 : 829,417.02 = 216,020.93 : x
  2. Step 2: Convert to fraction form
    553,067.70/829,417.02 = 216,020.93/x
  3. Step 3: Cross multiply
    553,067.70x = 829,417.02 × 216,020.93
  4. Step 4: Simplify right side
    553,067.70x = 179,171,431,061.07
  5. Step 5: Solve for x
    x = 179,171,431,061.07/553,067.70
  6. Step 6: Final answer
    x = 323,959.31

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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.