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Finding the Fourth Proportional to 566,218, 849,458.24 and 192,241

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Solution

The fourth proportional to 566,218, 849,458.24 and 192,241 is: 288,406.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,218 : 849,458.24 = 192,241 : x
  2. Step 2: Convert to fraction form
    566,218/849,458.24 = 192,241/x
  3. Step 3: Cross multiply
    566,218x = 849,458.24 × 192,241
  4. Step 4: Simplify right side
    566,218x = 163,300,701,515.84
  5. Step 5: Solve for x
    x = 163,300,701,515.84/566,218
  6. Step 6: Final answer
    x = 288,406.06

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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.