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Finding the Fourth Proportional to 256,486.98, 354,050.80 and 229,582.02

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Solution

The fourth proportional to 256,486.98, 354,050.80 and 229,582.02 is: 316,911.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,486.98 : 354,050.80 = 229,582.02 : x
  2. Step 2: Convert to fraction form
    256,486.98/354,050.80 = 229,582.02/x
  3. Step 3: Cross multiply
    256,486.98x = 354,050.80 × 229,582.02
  4. Step 4: Simplify right side
    256,486.98x = 81,283,697,846.62
  5. Step 5: Solve for x
    x = 81,283,697,846.62/256,486.98
  6. Step 6: Final answer
    x = 316,911.59

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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.