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Finding the Fourth Proportional to 297,368.64, 445,959 and 97,656.12

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Solution

The fourth proportional to 297,368.64, 445,959 and 97,656.12 is: 146,453.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,368.64 : 445,959 = 97,656.12 : x
  2. Step 2: Convert to fraction form
    297,368.64/445,959 = 97,656.12/x
  3. Step 3: Cross multiply
    297,368.64x = 445,959 × 97,656.12
  4. Step 4: Simplify right side
    297,368.64x = 43,550,625,619.08
  5. Step 5: Solve for x
    x = 43,550,625,619.08/297,368.64
  6. Step 6: Final answer
    x = 146,453.32

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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.