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Finding the Fourth Proportional to 470,901.45, 649,826.24 and 256,034.10

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Solution

The fourth proportional to 470,901.45, 649,826.24 and 256,034.10 is: 353,317.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,901.45 : 649,826.24 = 256,034.10 : x
  2. Step 2: Convert to fraction form
    470,901.45/649,826.24 = 256,034.10/x
  3. Step 3: Cross multiply
    470,901.45x = 649,826.24 × 256,034.10
  4. Step 4: Simplify right side
    470,901.45x = 166,377,675,234.61
  5. Step 5: Solve for x
    x = 166,377,675,234.61/470,901.45
  6. Step 6: Final answer
    x = 353,317.40

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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.