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Finding the Fourth Proportional to 256,082.40, 384,123.60 and 229,125.60

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Solution

The fourth proportional to 256,082.40, 384,123.60 and 229,125.60 is: 343,688.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,082.40 : 384,123.60 = 229,125.60 : x
  2. Step 2: Convert to fraction form
    256,082.40/384,123.60 = 229,125.60/x
  3. Step 3: Cross multiply
    256,082.40x = 384,123.60 × 229,125.60
  4. Step 4: Simplify right side
    256,082.40x = 88,012,550,324.16
  5. Step 5: Solve for x
    x = 88,012,550,324.16/256,082.40
  6. Step 6: Final answer
    x = 343,688.40

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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.