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Finding the Fourth Proportional to 566,207, 849,441.72 and 192,230

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Solution

The fourth proportional to 566,207, 849,441.72 and 192,230 is: 288,389.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,207 : 849,441.72 = 192,230 : x
  2. Step 2: Convert to fraction form
    566,207/849,441.72 = 192,230/x
  3. Step 3: Cross multiply
    566,207x = 849,441.72 × 192,230
  4. Step 4: Simplify right side
    566,207x = 163,288,181,835.60
  5. Step 5: Solve for x
    x = 163,288,181,835.60/566,207
  6. Step 6: Final answer
    x = 288,389.55

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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.