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Finding the Fourth Proportional to 356,901.56, 536,017.98 and 314,222.12

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Solution

The fourth proportional to 356,901.56, 536,017.98 and 314,222.12 is: 471,919.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,901.56 : 536,017.98 = 314,222.12 : x
  2. Step 2: Convert to fraction form
    356,901.56/536,017.98 = 314,222.12/x
  3. Step 3: Cross multiply
    356,901.56x = 536,017.98 × 314,222.12
  4. Step 4: Simplify right side
    356,901.56x = 168,428,706,033.72
  5. Step 5: Solve for x
    x = 168,428,706,033.72/356,901.56
  6. Step 6: Final answer
    x = 471,919.22

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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.