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Finding the Fourth Proportional to 384,036.40, 576,054.60 and 218,148.40

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Solution

The fourth proportional to 384,036.40, 576,054.60 and 218,148.40 is: 327,222.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,036.40 : 576,054.60 = 218,148.40 : x
  2. Step 2: Convert to fraction form
    384,036.40/576,054.60 = 218,148.40/x
  3. Step 3: Cross multiply
    384,036.40x = 576,054.60 × 218,148.40
  4. Step 4: Simplify right side
    384,036.40x = 125,665,389,302.64
  5. Step 5: Solve for x
    x = 125,665,389,302.64/384,036.40
  6. Step 6: Final answer
    x = 327,222.60

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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.