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Finding the Fourth Proportional to 586,828.80, 809,740.80 and 332,164.80

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Solution

The fourth proportional to 586,828.80, 809,740.80 and 332,164.80 is: 458,340.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,828.80 : 809,740.80 = 332,164.80 : x
  2. Step 2: Convert to fraction form
    586,828.80/809,740.80 = 332,164.80/x
  3. Step 3: Cross multiply
    586,828.80x = 809,740.80 × 332,164.80
  4. Step 4: Simplify right side
    586,828.80x = 268,967,390,883.84
  5. Step 5: Solve for x
    x = 268,967,390,883.84/586,828.80
  6. Step 6: Final answer
    x = 458,340.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.