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Finding the Fourth Proportional to 296,996.95, 445,450.32 and 97,312.92

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Solution

The fourth proportional to 296,996.95, 445,450.32 and 97,312.92 is: 145,954.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,996.95 : 445,450.32 = 97,312.92 : x
  2. Step 2: Convert to fraction form
    296,996.95/445,450.32 = 97,312.92/x
  3. Step 3: Cross multiply
    296,996.95x = 445,450.32 × 97,312.92
  4. Step 4: Simplify right side
    296,996.95x = 43,348,071,347.06
  5. Step 5: Solve for x
    x = 43,348,071,347.06/296,996.95
  6. Step 6: Final answer
    x = 145,954.60

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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.