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Finding the Fourth Proportional to 405,297.32, 559,320.84 and 224,012.12

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Solution

The fourth proportional to 405,297.32, 559,320.84 and 224,012.12 is: 309,142.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,297.32 : 559,320.84 = 224,012.12 : x
  2. Step 2: Convert to fraction form
    405,297.32/559,320.84 = 224,012.12/x
  3. Step 3: Cross multiply
    405,297.32x = 559,320.84 × 224,012.12
  4. Step 4: Simplify right side
    405,297.32x = 125,294,644,331.98
  5. Step 5: Solve for x
    x = 125,294,644,331.98/405,297.32
  6. Step 6: Final answer
    x = 309,142.55

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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.