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Finding the Fourth Proportional to 379,773.84, 524,077.56 and 210,002.16

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Solution

The fourth proportional to 379,773.84, 524,077.56 and 210,002.16 is: 289,797.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,773.84 : 524,077.56 = 210,002.16 : x
  2. Step 2: Convert to fraction form
    379,773.84/524,077.56 = 210,002.16/x
  3. Step 3: Cross multiply
    379,773.84x = 524,077.56 × 210,002.16
  4. Step 4: Simplify right side
    379,773.84x = 110,057,419,607.53
  5. Step 5: Solve for x
    x = 110,057,419,607.53/379,773.84
  6. Step 6: Final answer
    x = 289,797.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.