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Finding the Fourth Proportional to 307,384.30, 424,192.80 and 171,427.02

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Solution

The fourth proportional to 307,384.30, 424,192.80 and 171,427.02 is: 236,570.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,384.30 : 424,192.80 = 171,427.02 : x
  2. Step 2: Convert to fraction form
    307,384.30/424,192.80 = 171,427.02/x
  3. Step 3: Cross multiply
    307,384.30x = 424,192.80 × 171,427.02
  4. Step 4: Simplify right side
    307,384.30x = 72,718,105,697.31
  5. Step 5: Solve for x
    x = 72,718,105,697.31/307,384.30
  6. Step 6: Final answer
    x = 236,570.66

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Why These Related Problems?

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