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Finding the Fourth Proportional to 495,950.95, 684,419.12 and 269,601.31

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Solution

The fourth proportional to 495,950.95, 684,419.12 and 269,601.31 is: 372,053.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,950.95 : 684,419.12 = 269,601.31 : x
  2. Step 2: Convert to fraction form
    495,950.95/684,419.12 = 269,601.31/x
  3. Step 3: Cross multiply
    495,950.95x = 684,419.12 × 269,601.31
  4. Step 4: Simplify right side
    495,950.95x = 184,520,291,341.05
  5. Step 5: Solve for x
    x = 184,520,291,341.05/495,950.95
  6. Step 6: Final answer
    x = 372,053.51

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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.