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Finding the Fourth Proportional to 325,218.64, 487,827.96 and 214,384.72

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Solution

The fourth proportional to 325,218.64, 487,827.96 and 214,384.72 is: 321,577.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,218.64 : 487,827.96 = 214,384.72 : x
  2. Step 2: Convert to fraction form
    325,218.64/487,827.96 = 214,384.72/x
  3. Step 3: Cross multiply
    325,218.64x = 487,827.96 × 214,384.72
  4. Step 4: Simplify right side
    325,218.64x = 104,582,860,612.77
  5. Step 5: Solve for x
    x = 104,582,860,612.77/325,218.64
  6. Step 6: Final answer
    x = 321,577.08

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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.