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Finding the Fourth Proportional to 299,196.50, 412,834.65 and 178,349.06

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Solution

The fourth proportional to 299,196.50, 412,834.65 and 178,349.06 is: 246,088.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,196.50 : 412,834.65 = 178,349.06 : x
  2. Step 2: Convert to fraction form
    299,196.50/412,834.65 = 178,349.06/x
  3. Step 3: Cross multiply
    299,196.50x = 412,834.65 × 178,349.06
  4. Step 4: Simplify right side
    299,196.50x = 73,628,669,698.76
  5. Step 5: Solve for x
    x = 73,628,669,698.76/299,196.50
  6. Step 6: Final answer
    x = 246,088.01

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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.