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Finding the Fourth Proportional to 473,163.50, 709,857.13 and 153,314.84

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Solution

The fourth proportional to 473,163.50, 709,857.13 and 153,314.84 is: 230,008.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,163.50 : 709,857.13 = 153,314.84 : x
  2. Step 2: Convert to fraction form
    473,163.50/709,857.13 = 153,314.84/x
  3. Step 3: Cross multiply
    473,163.50x = 709,857.13 × 153,314.84
  4. Step 4: Simplify right side
    473,163.50x = 108,831,633,700.17
  5. Step 5: Solve for x
    x = 108,831,633,700.17/473,163.50
  6. Step 6: Final answer
    x = 230,008.51

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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.