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Finding the Fourth Proportional to 464,082.32, 696,210.60 and 148,454.48

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Solution

The fourth proportional to 464,082.32, 696,210.60 and 148,454.48 is: 222,709.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,082.32 : 696,210.60 = 148,454.48 : x
  2. Step 2: Convert to fraction form
    464,082.32/696,210.60 = 148,454.48/x
  3. Step 3: Cross multiply
    464,082.32x = 696,210.60 × 148,454.48
  4. Step 4: Simplify right side
    464,082.32x = 103,355,582,593.49
  5. Step 5: Solve for x
    x = 103,355,582,593.49/464,082.32
  6. Step 6: Final answer
    x = 222,709.59

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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.