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Finding the Fourth Proportional to 590,006.56, 813,971.26 and 341,485

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Solution

The fourth proportional to 590,006.56, 813,971.26 and 341,485 is: 471,111.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,006.56 : 813,971.26 = 341,485 : x
  2. Step 2: Convert to fraction form
    590,006.56/813,971.26 = 341,485/x
  3. Step 3: Cross multiply
    590,006.56x = 813,971.26 × 341,485
  4. Step 4: Simplify right side
    590,006.56x = 277,958,975,721.10
  5. Step 5: Solve for x
    x = 277,958,975,721.10/590,006.56
  6. Step 6: Final answer
    x = 471,111.67

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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.