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Finding the Fourth Proportional to 295,966, 443,949.18 and 98,974

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Solution

The fourth proportional to 295,966, 443,949.18 and 98,974 is: 148,461.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,966 : 443,949.18 = 98,974 : x
  2. Step 2: Convert to fraction form
    295,966/443,949.18 = 98,974/x
  3. Step 3: Cross multiply
    295,966x = 443,949.18 × 98,974
  4. Step 4: Simplify right side
    295,966x = 43,939,426,141.32
  5. Step 5: Solve for x
    x = 43,939,426,141.32/295,966
  6. Step 6: Final answer
    x = 148,461.06

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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.