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Finding the Fourth Proportional to 319,644.96, 441,275.88 and 233,507.24

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Solution

The fourth proportional to 319,644.96, 441,275.88 and 233,507.24 is: 322,361.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,644.96 : 441,275.88 = 233,507.24 : x
  2. Step 2: Convert to fraction form
    319,644.96/441,275.88 = 233,507.24/x
  3. Step 3: Cross multiply
    319,644.96x = 441,275.88 × 233,507.24
  4. Step 4: Simplify right side
    319,644.96x = 103,041,112,817.37
  5. Step 5: Solve for x
    x = 103,041,112,817.37/319,644.96
  6. Step 6: Final answer
    x = 322,361.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.