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Finding the Fourth Proportional to 495,695.72, 684,058.82 and 269,341.22

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Solution

The fourth proportional to 495,695.72, 684,058.82 and 269,341.22 is: 371,690.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,695.72 : 684,058.82 = 269,341.22 : x
  2. Step 2: Convert to fraction form
    495,695.72/684,058.82 = 269,341.22/x
  3. Step 3: Cross multiply
    495,695.72x = 684,058.82 × 269,341.22
  4. Step 4: Simplify right side
    495,695.72x = 184,245,237,130.56
  5. Step 5: Solve for x
    x = 184,245,237,130.56/495,695.72
  6. Step 6: Final answer
    x = 371,690.19

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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.