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Finding the Fourth Proportional to 495,710.87, 684,085.32 and 269,356.37

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Solution

The fourth proportional to 495,710.87, 684,085.32 and 269,356.37 is: 371,714.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,710.87 : 684,085.32 = 269,356.37 : x
  2. Step 2: Convert to fraction form
    495,710.87/684,085.32 = 269,356.37/x
  3. Step 3: Cross multiply
    495,710.87x = 684,085.32 × 269,356.37
  4. Step 4: Simplify right side
    495,710.87x = 184,262,735,145.06
  5. Step 5: Solve for x
    x = 184,262,735,145.06/495,710.87
  6. Step 6: Final answer
    x = 371,714.13

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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.