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Finding the Fourth Proportional to 495,695.34, 684,065.79 and 269,344.62

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Solution

The fourth proportional to 495,695.34, 684,065.79 and 269,344.62 is: 371,698.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,695.34 : 684,065.79 = 269,344.62 : x
  2. Step 2: Convert to fraction form
    495,695.34/684,065.79 = 269,344.62/x
  3. Step 3: Cross multiply
    495,695.34x = 684,065.79 × 269,344.62
  4. Step 4: Simplify right side
    495,695.34x = 184,249,440,262.55
  5. Step 5: Solve for x
    x = 184,249,440,262.55/495,695.34
  6. Step 6: Final answer
    x = 371,698.96

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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.