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Finding the Fourth Proportional to 424,852.56, 586,296.42 and 233,865

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Solution

The fourth proportional to 424,852.56, 586,296.42 and 233,865 is: 322,733.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,852.56 : 586,296.42 = 233,865 : x
  2. Step 2: Convert to fraction form
    424,852.56/586,296.42 = 233,865/x
  3. Step 3: Cross multiply
    424,852.56x = 586,296.42 × 233,865
  4. Step 4: Simplify right side
    424,852.56x = 137,114,212,263.30
  5. Step 5: Solve for x
    x = 137,114,212,263.30/424,852.56
  6. Step 6: Final answer
    x = 322,733.64

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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.