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Finding the Fourth Proportional to 282,463.72, 389,798.59 and 153,401.29

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Solution

The fourth proportional to 282,463.72, 389,798.59 and 153,401.29 is: 211,693.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,463.72 : 389,798.59 = 153,401.29 : x
  2. Step 2: Convert to fraction form
    282,463.72/389,798.59 = 153,401.29/x
  3. Step 3: Cross multiply
    282,463.72x = 389,798.59 × 153,401.29
  4. Step 4: Simplify right side
    282,463.72x = 59,795,606,546.18
  5. Step 5: Solve for x
    x = 59,795,606,546.18/282,463.72
  6. Step 6: Final answer
    x = 211,693.05

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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.