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Finding the Fourth Proportional to 307,925, 461,900.94 and 97,578.44

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Solution

The fourth proportional to 307,925, 461,900.94 and 97,578.44 is: 146,371.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,925 : 461,900.94 = 97,578.44 : x
  2. Step 2: Convert to fraction form
    307,925/461,900.94 = 97,578.44/x
  3. Step 3: Cross multiply
    307,925x = 461,900.94 × 97,578.44
  4. Step 4: Simplify right side
    307,925x = 45,071,573,159.73
  5. Step 5: Solve for x
    x = 45,071,573,159.73/307,925
  6. Step 6: Final answer
    x = 146,371.92

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1.5x scale

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.