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Finding the Fourth Proportional to 367,444.48, 507,056.82 and 206,296.60

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Solution

The fourth proportional to 367,444.48, 507,056.82 and 206,296.60 is: 284,680.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,444.48 : 507,056.82 = 206,296.60 : x
  2. Step 2: Convert to fraction form
    367,444.48/507,056.82 = 206,296.60/x
  3. Step 3: Cross multiply
    367,444.48x = 507,056.82 × 206,296.60
  4. Step 4: Simplify right side
    367,444.48x = 104,604,097,972.81
  5. Step 5: Solve for x
    x = 104,604,097,972.81/367,444.48
  6. Step 6: Final answer
    x = 284,680.01

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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.