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Finding the Fourth Proportional to 405,196.79, 559,205.24 and 223,944.10

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Solution

The fourth proportional to 405,196.79, 559,205.24 and 223,944.10 is: 309,061.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,196.79 : 559,205.24 = 223,944.10 : x
  2. Step 2: Convert to fraction form
    405,196.79/559,205.24 = 223,944.10/x
  3. Step 3: Cross multiply
    405,196.79x = 559,205.24 × 223,944.10
  4. Step 4: Simplify right side
    405,196.79x = 125,230,711,669.35
  5. Step 5: Solve for x
    x = 125,230,711,669.35/405,196.79
  6. Step 6: Final answer
    x = 309,061.46

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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.