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Finding the Fourth Proportional to 405,508.02, 559,552.23 and 224,195.46

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Solution

The fourth proportional to 405,508.02, 559,552.23 and 224,195.46 is: 309,362.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,508.02 : 559,552.23 = 224,195.46 : x
  2. Step 2: Convert to fraction form
    405,508.02/559,552.23 = 224,195.46/x
  3. Step 3: Cross multiply
    405,508.02x = 559,552.23 × 224,195.46
  4. Step 4: Simplify right side
    405,508.02x = 125,449,069,598.88
  5. Step 5: Solve for x
    x = 125,449,069,598.88/405,508.02
  6. Step 6: Final answer
    x = 309,362.73

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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.