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Finding the Fourth Proportional to 289,475.37, 399,471.35 and 162,150.57

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Solution

The fourth proportional to 289,475.37, 399,471.35 and 162,150.57 is: 223,765.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,475.37 : 399,471.35 = 162,150.57 : x
  2. Step 2: Convert to fraction form
    289,475.37/399,471.35 = 162,150.57/x
  3. Step 3: Cross multiply
    289,475.37x = 399,471.35 × 162,150.57
  4. Step 4: Simplify right side
    289,475.37x = 64,774,506,290.42
  5. Step 5: Solve for x
    x = 64,774,506,290.42/289,475.37
  6. Step 6: Final answer
    x = 223,765.17

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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.