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Finding the Fourth Proportional to 384,008.58, 529,931.97 and 214,239.06

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Solution

The fourth proportional to 384,008.58, 529,931.97 and 214,239.06 is: 295,649.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,008.58 : 529,931.97 = 214,239.06 : x
  2. Step 2: Convert to fraction form
    384,008.58/529,931.97 = 214,239.06/x
  3. Step 3: Cross multiply
    384,008.58x = 529,931.97 × 214,239.06
  4. Step 4: Simplify right side
    384,008.58x = 113,532,127,116.75
  5. Step 5: Solve for x
    x = 113,532,127,116.75/384,008.58
  6. Step 6: Final answer
    x = 295,649.98

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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.