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Finding the Fourth Proportional to 314,416.59, 471,204.23 and 154,247.19

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Solution

The fourth proportional to 314,416.59, 471,204.23 and 154,247.19 is: 231,164.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,416.59 : 471,204.23 = 154,247.19 : x
  2. Step 2: Convert to fraction form
    314,416.59/471,204.23 = 154,247.19/x
  3. Step 3: Cross multiply
    314,416.59x = 471,204.23 × 154,247.19
  4. Step 4: Simplify right side
    314,416.59x = 72,681,927,622.38
  5. Step 5: Solve for x
    x = 72,681,927,622.38/314,416.59
  6. Step 6: Final answer
    x = 231,164.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.