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Finding the Fourth Proportional to 307,154.79, 460,794.83 and 174,094.47

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Solution

The fourth proportional to 307,154.79, 460,794.83 and 174,094.47 is: 261,177.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,154.79 : 460,794.83 = 174,094.47 : x
  2. Step 2: Convert to fraction form
    307,154.79/460,794.83 = 174,094.47/x
  3. Step 3: Cross multiply
    307,154.79x = 460,794.83 × 174,094.47
  4. Step 4: Simplify right side
    307,154.79x = 80,221,830,837.12
  5. Step 5: Solve for x
    x = 80,221,830,837.12/307,154.79
  6. Step 6: Final answer
    x = 261,177.21

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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.