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Finding the Fourth Proportional to 653,831.20, 978,919.54 and 353,234.80

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Solution

The fourth proportional to 653,831.20, 978,919.54 and 353,234.80 is: 528,865.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,831.20 : 978,919.54 = 353,234.80 : x
  2. Step 2: Convert to fraction form
    653,831.20/978,919.54 = 353,234.80/x
  3. Step 3: Cross multiply
    653,831.20x = 978,919.54 × 353,234.80
  4. Step 4: Simplify right side
    653,831.20x = 345,788,447,927.99
  5. Step 5: Solve for x
    x = 345,788,447,927.99/653,831.20
  6. Step 6: Final answer
    x = 528,865.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.