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Finding the Fourth Proportional to 599,491.76, 894,864.22 and 523,823

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Solution

The fourth proportional to 599,491.76, 894,864.22 and 523,823 is: 781,913.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,491.76 : 894,864.22 = 523,823 : x
  2. Step 2: Convert to fraction form
    599,491.76/894,864.22 = 523,823/x
  3. Step 3: Cross multiply
    599,491.76x = 894,864.22 × 523,823
  4. Step 4: Simplify right side
    599,491.76x = 468,750,460,313.06
  5. Step 5: Solve for x
    x = 468,750,460,313.06/599,491.76
  6. Step 6: Final answer
    x = 781,913.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.