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Finding the Fourth Proportional to 357,104.25, 535,806.59 and 222,281.06

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Solution

The fourth proportional to 357,104.25, 535,806.59 and 222,281.06 is: 333,515.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,104.25 : 535,806.59 = 222,281.06 : x
  2. Step 2: Convert to fraction form
    357,104.25/535,806.59 = 222,281.06/x
  3. Step 3: Cross multiply
    357,104.25x = 535,806.59 × 222,281.06
  4. Step 4: Simplify right side
    357,104.25x = 119,099,652,989.75
  5. Step 5: Solve for x
    x = 119,099,652,989.75/357,104.25
  6. Step 6: Final answer
    x = 333,515.08

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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.