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Finding the Fourth Proportional to 370,030.23, 510,643.22 and 200,264.31

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Solution

The fourth proportional to 370,030.23, 510,643.22 and 200,264.31 is: 276,365.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,030.23 : 510,643.22 = 200,264.31 : x
  2. Step 2: Convert to fraction form
    370,030.23/510,643.22 = 200,264.31/x
  3. Step 3: Cross multiply
    370,030.23x = 510,643.22 × 200,264.31
  4. Step 4: Simplify right side
    370,030.23x = 102,263,611,108.16
  5. Step 5: Solve for x
    x = 102,263,611,108.16/370,030.23
  6. Step 6: Final answer
    x = 276,365.56

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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.