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Finding the Fourth Proportional to 314,027.43, 471,042.90 and 77,368.38

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Solution

The fourth proportional to 314,027.43, 471,042.90 and 77,368.38 is: 116,053.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,027.43 : 471,042.90 = 77,368.38 : x
  2. Step 2: Convert to fraction form
    314,027.43/471,042.90 = 77,368.38/x
  3. Step 3: Cross multiply
    314,027.43x = 471,042.90 × 77,368.38
  4. Step 4: Simplify right side
    314,027.43x = 36,443,826,083.50
  5. Step 5: Solve for x
    x = 36,443,826,083.50/314,027.43
  6. Step 6: Final answer
    x = 116,053.00

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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.