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Finding the Fourth Proportional to 233,562.84, 319,982.24 and 224,816.12

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Solution

The fourth proportional to 233,562.84, 319,982.24 and 224,816.12 is: 307,999.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,562.84 : 319,982.24 = 224,816.12 : x
  2. Step 2: Convert to fraction form
    233,562.84/319,982.24 = 224,816.12/x
  3. Step 3: Cross multiply
    233,562.84x = 319,982.24 × 224,816.12
  4. Step 4: Simplify right side
    233,562.84x = 71,937,165,665.71
  5. Step 5: Solve for x
    x = 71,937,165,665.71/233,562.84
  6. Step 6: Final answer
    x = 307,999.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.