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Finding the Fourth Proportional to 495,712.42, 684,088.50 and 269,357.92

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Solution

The fourth proportional to 495,712.42, 684,088.50 and 269,357.92 is: 371,716.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,712.42 : 684,088.50 = 269,357.92 : x
  2. Step 2: Convert to fraction form
    495,712.42/684,088.50 = 269,357.92/x
  3. Step 3: Cross multiply
    495,712.42x = 684,088.50 × 269,357.92
  4. Step 4: Simplify right side
    495,712.42x = 184,264,655,455.92
  5. Step 5: Solve for x
    x = 184,264,655,455.92/495,712.42
  6. Step 6: Final answer
    x = 371,716.84

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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.