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Finding the Fourth Proportional to 495,951.96, 684,420.50 and 269,602.32

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Solution

The fourth proportional to 495,951.96, 684,420.50 and 269,602.32 is: 372,054.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,951.96 : 684,420.50 = 269,602.32 : x
  2. Step 2: Convert to fraction form
    495,951.96/684,420.50 = 269,602.32/x
  3. Step 3: Cross multiply
    495,951.96x = 684,420.50 × 269,602.32
  4. Step 4: Simplify right side
    495,951.96x = 184,521,354,655.56
  5. Step 5: Solve for x
    x = 184,521,354,655.56/495,951.96
  6. Step 6: Final answer
    x = 372,054.90

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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.