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Finding the Fourth Proportional to 470,510.46, 649,303.11 and 255,651.30

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Solution

The fourth proportional to 470,510.46, 649,303.11 and 255,651.30 is: 352,798.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,510.46 : 649,303.11 = 255,651.30 : x
  2. Step 2: Convert to fraction form
    470,510.46/649,303.11 = 255,651.30/x
  3. Step 3: Cross multiply
    470,510.46x = 649,303.11 × 255,651.30
  4. Step 4: Simplify right side
    470,510.46x = 165,995,184,165.54
  5. Step 5: Solve for x
    x = 165,995,184,165.54/470,510.46
  6. Step 6: Final answer
    x = 352,798.07

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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.