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Finding the Fourth Proportional to 495,782.80, 684,180.18 and 269,428.24

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Solution

The fourth proportional to 495,782.80, 684,180.18 and 269,428.24 is: 371,810.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,782.80 : 684,180.18 = 269,428.24 : x
  2. Step 2: Convert to fraction form
    495,782.80/684,180.18 = 269,428.24/x
  3. Step 3: Cross multiply
    495,782.80x = 684,180.18 × 269,428.24
  4. Step 4: Simplify right side
    495,782.80x = 184,337,461,740.28
  5. Step 5: Solve for x
    x = 184,337,461,740.28/495,782.80
  6. Step 6: Final answer
    x = 371,810.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.