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Finding the Fourth Proportional to 405,670.54, 559,820.55 and 224,368.24

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Solution

The fourth proportional to 405,670.54, 559,820.55 and 224,368.24 is: 309,625.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,670.54 : 559,820.55 = 224,368.24 : x
  2. Step 2: Convert to fraction form
    405,670.54/559,820.55 = 224,368.24/x
  3. Step 3: Cross multiply
    405,670.54x = 559,820.55 × 224,368.24
  4. Step 4: Simplify right side
    405,670.54x = 125,605,951,519.33
  5. Step 5: Solve for x
    x = 125,605,951,519.33/405,670.54
  6. Step 6: Final answer
    x = 309,625.52

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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.