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Finding the Fourth Proportional to 359,266.41, 495,731.75 and 208,334.25

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Solution

The fourth proportional to 359,266.41, 495,731.75 and 208,334.25 is: 287,468.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,266.41 : 495,731.75 = 208,334.25 : x
  2. Step 2: Convert to fraction form
    359,266.41/495,731.75 = 208,334.25/x
  3. Step 3: Cross multiply
    359,266.41x = 495,731.75 × 208,334.25
  4. Step 4: Simplify right side
    359,266.41x = 103,277,901,295.77
  5. Step 5: Solve for x
    x = 103,277,901,295.77/359,266.41
  6. Step 6: Final answer
    x = 287,468.85

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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.