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Finding the Fourth Proportional to 297,509.75, 410,505.72 and 176,688.94

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Solution

The fourth proportional to 297,509.75, 410,505.72 and 176,688.94 is: 243,796.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,509.75 : 410,505.72 = 176,688.94 : x
  2. Step 2: Convert to fraction form
    297,509.75/410,505.72 = 176,688.94/x
  3. Step 3: Cross multiply
    297,509.75x = 410,505.72 × 176,688.94
  4. Step 4: Simplify right side
    297,509.75x = 72,531,819,504.47
  5. Step 5: Solve for x
    x = 72,531,819,504.47/297,509.75
  6. Step 6: Final answer
    x = 243,796.44

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1.5x scale

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.