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Finding the Fourth Proportional to 470,322.32, 649,052.04 and 255,462.80

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Solution

The fourth proportional to 470,322.32, 649,052.04 and 255,462.80 is: 352,542.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,322.32 : 649,052.04 = 255,462.80 : x
  2. Step 2: Convert to fraction form
    470,322.32/649,052.04 = 255,462.80/x
  3. Step 3: Cross multiply
    470,322.32x = 649,052.04 × 255,462.80
  4. Step 4: Simplify right side
    470,322.32x = 165,808,651,484.11
  5. Step 5: Solve for x
    x = 165,808,651,484.11/470,322.32
  6. Step 6: Final answer
    x = 352,542.60

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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.