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Finding the Fourth Proportional to 356,945.19, 535,245.56 and 207,223.17

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Solution

The fourth proportional to 356,945.19, 535,245.56 and 207,223.17 is: 310,734.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,945.19 : 535,245.56 = 207,223.17 : x
  2. Step 2: Convert to fraction form
    356,945.19/535,245.56 = 207,223.17/x
  3. Step 3: Cross multiply
    356,945.19x = 535,245.56 × 207,223.17
  4. Step 4: Simplify right side
    356,945.19x = 110,915,280,635.51
  5. Step 5: Solve for x
    x = 110,915,280,635.51/356,945.19
  6. Step 6: Final answer
    x = 310,734.77

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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.