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Finding the Fourth Proportional to 380,352.24, 524,915.72 and 210,602.16

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Solution

The fourth proportional to 380,352.24, 524,915.72 and 210,602.16 is: 290,647.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,352.24 : 524,915.72 = 210,602.16 : x
  2. Step 2: Convert to fraction form
    380,352.24/524,915.72 = 210,602.16/x
  3. Step 3: Cross multiply
    380,352.24x = 524,915.72 × 210,602.16
  4. Step 4: Simplify right side
    380,352.24x = 110,548,384,449.96
  5. Step 5: Solve for x
    x = 110,548,384,449.96/380,352.24
  6. Step 6: Final answer
    x = 290,647.39

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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.