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Finding the Fourth Proportional to 405,734.39, 559,903.33 and 224,456.39

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Solution

The fourth proportional to 405,734.39, 559,903.33 and 224,456.39 is: 309,744.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,734.39 : 559,903.33 = 224,456.39 : x
  2. Step 2: Convert to fraction form
    405,734.39/559,903.33 = 224,456.39/x
  3. Step 3: Cross multiply
    405,734.39x = 559,903.33 × 224,456.39
  4. Step 4: Simplify right side
    405,734.39x = 125,673,880,200.78
  5. Step 5: Solve for x
    x = 125,673,880,200.78/405,734.39
  6. Step 6: Final answer
    x = 309,744.22

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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.