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Finding the Fourth Proportional to 566,199, 849,429.72 and 192,222

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Solution

The fourth proportional to 566,199, 849,429.72 and 192,222 is: 288,377.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,199 : 849,429.72 = 192,222 : x
  2. Step 2: Convert to fraction form
    566,199/849,429.72 = 192,222/x
  3. Step 3: Cross multiply
    566,199x = 849,429.72 × 192,222
  4. Step 4: Simplify right side
    566,199x = 163,279,079,637.84
  5. Step 5: Solve for x
    x = 163,279,079,637.84/566,199
  6. Step 6: Final answer
    x = 288,377.55

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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.