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Finding the Fourth Proportional to 298,584.60, 446,783.40 and 219,852.60

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Solution

The fourth proportional to 298,584.60, 446,783.40 and 219,852.60 is: 328,973.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,584.60 : 446,783.40 = 219,852.60 : x
  2. Step 2: Convert to fraction form
    298,584.60/446,783.40 = 219,852.60/x
  3. Step 3: Cross multiply
    298,584.60x = 446,783.40 × 219,852.60
  4. Step 4: Simplify right side
    298,584.60x = 98,226,492,126.84
  5. Step 5: Solve for x
    x = 98,226,492,126.84/298,584.60
  6. Step 6: Final answer
    x = 328,973.74

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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.