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Finding the Fourth Proportional to 334,008.42, 460,980.86 and 211,511.98

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Solution

The fourth proportional to 334,008.42, 460,980.86 and 211,511.98 is: 291,917.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,008.42 : 460,980.86 = 211,511.98 : x
  2. Step 2: Convert to fraction form
    334,008.42/460,980.86 = 211,511.98/x
  3. Step 3: Cross multiply
    334,008.42x = 460,980.86 × 211,511.98
  4. Step 4: Simplify right side
    334,008.42x = 97,502,974,440.70
  5. Step 5: Solve for x
    x = 97,502,974,440.70/334,008.42
  6. Step 6: Final answer
    x = 291,917.71

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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.