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Finding the Fourth Proportional to 446,082.48, 615,388.50 and 284,856.84

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Solution

The fourth proportional to 446,082.48, 615,388.50 and 284,856.84 is: 392,971.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,082.48 : 615,388.50 = 284,856.84 : x
  2. Step 2: Convert to fraction form
    446,082.48/615,388.50 = 284,856.84/x
  3. Step 3: Cross multiply
    446,082.48x = 615,388.50 × 284,856.84
  4. Step 4: Simplify right side
    446,082.48x = 175,297,623,482.34
  5. Step 5: Solve for x
    x = 175,297,623,482.34/446,082.48
  6. Step 6: Final answer
    x = 392,971.33

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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.