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Finding the Fourth Proportional to 464,133.85, 697,266.43 and 327,670.79

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Solution

The fourth proportional to 464,133.85, 697,266.43 and 327,670.79 is: 492,258.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,133.85 : 697,266.43 = 327,670.79 : x
  2. Step 2: Convert to fraction form
    464,133.85/697,266.43 = 327,670.79/x
  3. Step 3: Cross multiply
    464,133.85x = 697,266.43 × 327,670.79
  4. Step 4: Simplify right side
    464,133.85x = 228,473,837,653.07
  5. Step 5: Solve for x
    x = 228,473,837,653.07/464,133.85
  6. Step 6: Final answer
    x = 492,258.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.