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Finding the Fourth Proportional to 495,807.19, 684,194.65 and 269,447.83

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Solution

The fourth proportional to 495,807.19, 684,194.65 and 269,447.83 is: 371,827.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,807.19 : 684,194.65 = 269,447.83 : x
  2. Step 2: Convert to fraction form
    495,807.19/684,194.65 = 269,447.83/x
  3. Step 3: Cross multiply
    495,807.19x = 684,194.65 × 269,447.83
  4. Step 4: Simplify right side
    495,807.19x = 184,354,763,740.11
  5. Step 5: Solve for x
    x = 184,354,763,740.11/495,807.19
  6. Step 6: Final answer
    x = 371,827.53

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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.