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Finding the Fourth Proportional to 682,527.84, 941,914.08 and 380,780.16

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Solution

The fourth proportional to 682,527.84, 941,914.08 and 380,780.16 is: 525,490.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,527.84 : 941,914.08 = 380,780.16 : x
  2. Step 2: Convert to fraction form
    682,527.84/941,914.08 = 380,780.16/x
  3. Step 3: Cross multiply
    682,527.84x = 941,914.08 × 380,780.16
  4. Step 4: Simplify right side
    682,527.84x = 358,662,194,088.65
  5. Step 5: Solve for x
    x = 358,662,194,088.65/682,527.84
  6. Step 6: Final answer
    x = 525,490.94

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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.