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Finding the Fourth Proportional to 470,348.64, 649,082.35 and 255,486.96

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Solution

The fourth proportional to 470,348.64, 649,082.35 and 255,486.96 is: 352,572.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,348.64 : 649,082.35 = 255,486.96 : x
  2. Step 2: Convert to fraction form
    470,348.64/649,082.35 = 255,486.96/x
  3. Step 3: Cross multiply
    470,348.64x = 649,082.35 × 255,486.96
  4. Step 4: Simplify right side
    470,348.64x = 165,832,076,391.16
  5. Step 5: Solve for x
    x = 165,832,076,391.16/470,348.64
  6. Step 6: Final answer
    x = 352,572.67

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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.