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Finding the Fourth Proportional to 340,509.33, 469,831.59 and 197,260.83

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Solution

The fourth proportional to 340,509.33, 469,831.59 and 197,260.83 is: 272,178.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,509.33 : 469,831.59 = 197,260.83 : x
  2. Step 2: Convert to fraction form
    340,509.33/469,831.59 = 197,260.83/x
  3. Step 3: Cross multiply
    340,509.33x = 469,831.59 × 197,260.83
  4. Step 4: Simplify right side
    340,509.33x = 92,679,369,403.62
  5. Step 5: Solve for x
    x = 92,679,369,403.62/340,509.33
  6. Step 6: Final answer
    x = 272,178.65

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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.