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Finding the Fourth Proportional to 495,855.34, 684,275.25 and 269,499.22

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Solution

The fourth proportional to 495,855.34, 684,275.25 and 269,499.22 is: 371,906.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,855.34 : 684,275.25 = 269,499.22 : x
  2. Step 2: Convert to fraction form
    495,855.34/684,275.25 = 269,499.22/x
  3. Step 3: Cross multiply
    495,855.34x = 684,275.25 × 269,499.22
  4. Step 4: Simplify right side
    495,855.34x = 184,411,646,140.31
  5. Step 5: Solve for x
    x = 184,411,646,140.31/495,855.34
  6. Step 6: Final answer
    x = 371,906.14

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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.