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Finding the Fourth Proportional to 482,559.74, 723,368.84 and 229,772.33

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Solution

The fourth proportional to 482,559.74, 723,368.84 and 229,772.33 is: 344,434.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,559.74 : 723,368.84 = 229,772.33 : x
  2. Step 2: Convert to fraction form
    482,559.74/723,368.84 = 229,772.33/x
  3. Step 3: Cross multiply
    482,559.74x = 723,368.84 × 229,772.33
  4. Step 4: Simplify right side
    482,559.74x = 166,210,139,050.49
  5. Step 5: Solve for x
    x = 166,210,139,050.49/482,559.74
  6. Step 6: Final answer
    x = 344,434.33

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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.