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Finding the Fourth Proportional to 470,601.71, 649,434.53 and 255,741.80

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Solution

The fourth proportional to 470,601.71, 649,434.53 and 255,741.80 is: 352,925.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,601.71 : 649,434.53 = 255,741.80 : x
  2. Step 2: Convert to fraction form
    470,601.71/649,434.53 = 255,741.80/x
  3. Step 3: Cross multiply
    470,601.71x = 649,434.53 × 255,741.80
  4. Step 4: Simplify right side
    470,601.71x = 166,087,551,158.47
  5. Step 5: Solve for x
    x = 166,087,551,158.47/470,601.71
  6. Step 6: Final answer
    x = 352,925.94

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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.