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Finding the Fourth Proportional to 385,038.33, 577,419.26 and 148,262.01

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Solution

The fourth proportional to 385,038.33, 577,419.26 and 148,262.01 is: 222,339.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,038.33 : 577,419.26 = 148,262.01 : x
  2. Step 2: Convert to fraction form
    385,038.33/577,419.26 = 148,262.01/x
  3. Step 3: Cross multiply
    385,038.33x = 577,419.26 × 148,262.01
  4. Step 4: Simplify right side
    385,038.33x = 85,609,339,359.00
  5. Step 5: Solve for x
    x = 85,609,339,359.00/385,038.33
  6. Step 6: Final answer
    x = 222,339.78

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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.