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Finding the Fourth Proportional to 495,032.50, 683,146.67 and 268,678

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Solution

The fourth proportional to 495,032.50, 683,146.67 and 268,678 is: 370,776.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,032.50 : 683,146.67 = 268,678 : x
  2. Step 2: Convert to fraction form
    495,032.50/683,146.67 = 268,678/x
  3. Step 3: Cross multiply
    495,032.50x = 683,146.67 × 268,678
  4. Step 4: Simplify right side
    495,032.50x = 183,546,481,002.26
  5. Step 5: Solve for x
    x = 183,546,481,002.26/495,032.50
  6. Step 6: Final answer
    x = 370,776.63

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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.