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Finding the Fourth Proportional to 471,364.84, 650,497.04 and 256,518.51

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Solution

The fourth proportional to 471,364.84, 650,497.04 and 256,518.51 is: 354,002.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,364.84 : 650,497.04 = 256,518.51 : x
  2. Step 2: Convert to fraction form
    471,364.84/650,497.04 = 256,518.51/x
  3. Step 3: Cross multiply
    471,364.84x = 650,497.04 × 256,518.51
  4. Step 4: Simplify right side
    471,364.84x = 166,864,531,460.21
  5. Step 5: Solve for x
    x = 166,864,531,460.21/471,364.84
  6. Step 6: Final answer
    x = 354,002.92

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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.