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Finding the Fourth Proportional to 433,718.58, 650,622.06 and 149,372.13

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Solution

The fourth proportional to 433,718.58, 650,622.06 and 149,372.13 is: 224,073.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,718.58 : 650,622.06 = 149,372.13 : x
  2. Step 2: Convert to fraction form
    433,718.58/650,622.06 = 149,372.13/x
  3. Step 3: Cross multiply
    433,718.58x = 650,622.06 × 149,372.13
  4. Step 4: Simplify right side
    433,718.58x = 97,184,802,927.19
  5. Step 5: Solve for x
    x = 97,184,802,927.19/433,718.58
  6. Step 6: Final answer
    x = 224,073.41

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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.