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Finding the Fourth Proportional to 495,758.88, 684,151.92 and 294,516

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Solution

The fourth proportional to 495,758.88, 684,151.92 and 294,516 is: 406,434.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,758.88 : 684,151.92 = 294,516 : x
  2. Step 2: Convert to fraction form
    495,758.88/684,151.92 = 294,516/x
  3. Step 3: Cross multiply
    495,758.88x = 684,151.92 × 294,516
  4. Step 4: Simplify right side
    495,758.88x = 201,493,686,870.72
  5. Step 5: Solve for x
    x = 201,493,686,870.72/495,758.88
  6. Step 6: Final answer
    x = 406,434.85

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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.