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Finding the Fourth Proportional to 495,872.28, 684,303.69 and 294,668.28

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Solution

The fourth proportional to 495,872.28, 684,303.69 and 294,668.28 is: 406,642.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,872.28 : 684,303.69 = 294,668.28 : x
  2. Step 2: Convert to fraction form
    495,872.28/684,303.69 = 294,668.28/x
  3. Step 3: Cross multiply
    495,872.28x = 684,303.69 × 294,668.28
  4. Step 4: Simplify right side
    495,872.28x = 201,642,591,329.95
  5. Step 5: Solve for x
    x = 201,642,591,329.95/495,872.28
  6. Step 6: Final answer
    x = 406,642.19

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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.