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Finding the Fourth Proportional to 405,145.40, 559,098.38 and 223,857.40

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Solution

The fourth proportional to 405,145.40, 559,098.38 and 223,857.40 is: 308,921.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,145.40 : 559,098.38 = 223,857.40 : x
  2. Step 2: Convert to fraction form
    405,145.40/559,098.38 = 223,857.40/x
  3. Step 3: Cross multiply
    405,145.40x = 559,098.38 × 223,857.40
  4. Step 4: Simplify right side
    405,145.40x = 125,158,309,691.01
  5. Step 5: Solve for x
    x = 125,158,309,691.01/405,145.40
  6. Step 6: Final answer
    x = 308,921.96

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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.