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Finding the Fourth Proportional to 385,003.34, 577,283.34 and 148,315.22

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Solution

The fourth proportional to 385,003.34, 577,283.34 and 148,315.22 is: 222,387.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,003.34 : 577,283.34 = 148,315.22 : x
  2. Step 2: Convert to fraction form
    385,003.34/577,283.34 = 148,315.22/x
  3. Step 3: Cross multiply
    385,003.34x = 577,283.34 × 148,315.22
  4. Step 4: Simplify right side
    385,003.34x = 85,619,905,574.43
  5. Step 5: Solve for x
    x = 85,619,905,574.43/385,003.34
  6. Step 6: Final answer
    x = 222,387.44

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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.