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Finding the Fourth Proportional to 784,664, 1,176,998.88 and 193,688

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Solution

The fourth proportional to 784,664, 1,176,998.88 and 193,688 is: 290,532.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,664 : 1,176,998.88 = 193,688 : x
  2. Step 2: Convert to fraction form
    784,664/1,176,998.88 = 193,688/x
  3. Step 3: Cross multiply
    784,664x = 1,176,998.88 × 193,688
  4. Step 4: Simplify right side
    784,664x = 227,970,559,069.44
  5. Step 5: Solve for x
    x = 227,970,559,069.44/784,664
  6. Step 6: Final answer
    x = 290,532.71

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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.