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Finding the Fourth Proportional to 297,688.80, 446,533.20 and 185,714.40

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Solution

The fourth proportional to 297,688.80, 446,533.20 and 185,714.40 is: 278,571.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,688.80 : 446,533.20 = 185,714.40 : x
  2. Step 2: Convert to fraction form
    297,688.80/446,533.20 = 185,714.40/x
  3. Step 3: Cross multiply
    297,688.80x = 446,533.20 × 185,714.40
  4. Step 4: Simplify right side
    297,688.80x = 82,927,645,318.08
  5. Step 5: Solve for x
    x = 82,927,645,318.08/297,688.80
  6. Step 6: Final answer
    x = 278,571.60

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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.