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Finding the Fourth Proportional to 262,294.40, 392,858.40 and 202,937.60

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Solution

The fourth proportional to 262,294.40, 392,858.40 and 202,937.60 is: 303,955.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,294.40 : 392,858.40 = 202,937.60 : x
  2. Step 2: Convert to fraction form
    262,294.40/392,858.40 = 202,937.60/x
  3. Step 3: Cross multiply
    262,294.40x = 392,858.40 × 202,937.60
  4. Step 4: Simplify right side
    262,294.40x = 79,725,740,835.84
  5. Step 5: Solve for x
    x = 79,725,740,835.84/262,294.40
  6. Step 6: Final answer
    x = 303,955.18

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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.