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Finding the Fourth Proportional to 346,305.63, 519,455.70 and 186,456.43

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Solution

The fourth proportional to 346,305.63, 519,455.70 and 186,456.43 is: 279,683.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,305.63 : 519,455.70 = 186,456.43 : x
  2. Step 2: Convert to fraction form
    346,305.63/519,455.70 = 186,456.43/x
  3. Step 3: Cross multiply
    346,305.63x = 519,455.70 × 186,456.43
  4. Step 4: Simplify right side
    346,305.63x = 96,855,856,014.47
  5. Step 5: Solve for x
    x = 96,855,856,014.47/346,305.63
  6. Step 6: Final answer
    x = 279,683.17

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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.