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Finding the Fourth Proportional to 306,313.84, 459,470.92 and 116,730

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Solution

The fourth proportional to 306,313.84, 459,470.92 and 116,730 is: 175,095.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,313.84 : 459,470.92 = 116,730 : x
  2. Step 2: Convert to fraction form
    306,313.84/459,470.92 = 116,730/x
  3. Step 3: Cross multiply
    306,313.84x = 459,470.92 × 116,730
  4. Step 4: Simplify right side
    306,313.84x = 53,634,040,491.60
  5. Step 5: Solve for x
    x = 53,634,040,491.60/306,313.84
  6. Step 6: Final answer
    x = 175,095.06

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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.