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Finding the Fourth Proportional to 380,094.72, 524,541.60 and 210,344.64

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Solution

The fourth proportional to 380,094.72, 524,541.60 and 210,344.64 is: 290,281.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,094.72 : 524,541.60 = 210,344.64 : x
  2. Step 2: Convert to fraction form
    380,094.72/524,541.60 = 210,344.64/x
  3. Step 3: Cross multiply
    380,094.72x = 524,541.60 × 210,344.64
  4. Step 4: Simplify right side
    380,094.72x = 110,334,514,017.02
  5. Step 5: Solve for x
    x = 110,334,514,017.02/380,094.72
  6. Step 6: Final answer
    x = 290,281.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.