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Finding the Fourth Proportional to 297,271.19, 445,953.16 and 97,546.12

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Solution

The fourth proportional to 297,271.19, 445,953.16 and 97,546.12 is: 146,334.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,271.19 : 445,953.16 = 97,546.12 : x
  2. Step 2: Convert to fraction form
    297,271.19/445,953.16 = 97,546.12/x
  3. Step 3: Cross multiply
    297,271.19x = 445,953.16 × 97,546.12
  4. Step 4: Simplify right side
    297,271.19x = 43,501,000,459.74
  5. Step 5: Solve for x
    x = 43,501,000,459.74/297,271.19
  6. Step 6: Final answer
    x = 146,334.40

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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.