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Finding the Fourth Proportional to 384,052.32, 529,823.43 and 366,264.72

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Solution

The fourth proportional to 384,052.32, 529,823.43 and 366,264.72 is: 505,284.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,052.32 : 529,823.43 = 366,264.72 : x
  2. Step 2: Convert to fraction form
    384,052.32/529,823.43 = 366,264.72/x
  3. Step 3: Cross multiply
    384,052.32x = 529,823.43 × 366,264.72
  4. Step 4: Simplify right side
    384,052.32x = 194,055,630,238.39
  5. Step 5: Solve for x
    x = 194,055,630,238.39/384,052.32
  6. Step 6: Final answer
    x = 505,284.36

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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.