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Finding the Fourth Proportional to 553,065.74, 829,920.58 and 233,197.54

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Solution

The fourth proportional to 553,065.74, 829,920.58 and 233,197.54 is: 349,932.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,065.74 : 829,920.58 = 233,197.54 : x
  2. Step 2: Convert to fraction form
    553,065.74/829,920.58 = 233,197.54/x
  3. Step 3: Cross multiply
    553,065.74x = 829,920.58 × 233,197.54
  4. Step 4: Simplify right side
    553,065.74x = 193,535,437,651.37
  5. Step 5: Solve for x
    x = 193,535,437,651.37/553,065.74
  6. Step 6: Final answer
    x = 349,932.07

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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.