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Finding the Fourth Proportional to 356,946.82, 535,247.99 and 207,224.80

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Solution

The fourth proportional to 356,946.82, 535,247.99 and 207,224.80 is: 310,737.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,946.82 : 535,247.99 = 207,224.80 : x
  2. Step 2: Convert to fraction form
    356,946.82/535,247.99 = 207,224.80/x
  3. Step 3: Cross multiply
    356,946.82x = 535,247.99 × 207,224.80
  4. Step 4: Simplify right side
    356,946.82x = 110,916,657,678.15
  5. Step 5: Solve for x
    x = 110,916,657,678.15/356,946.82
  6. Step 6: Final answer
    x = 310,737.21

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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.