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Finding the Fourth Proportional to 291,312.64, 401,996.16 and 163,984

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Solution

The fourth proportional to 291,312.64, 401,996.16 and 163,984 is: 226,289.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,312.64 : 401,996.16 = 163,984 : x
  2. Step 2: Convert to fraction form
    291,312.64/401,996.16 = 163,984/x
  3. Step 3: Cross multiply
    291,312.64x = 401,996.16 × 163,984
  4. Step 4: Simplify right side
    291,312.64x = 65,920,938,301.44
  5. Step 5: Solve for x
    x = 65,920,938,301.44/291,312.64
  6. Step 6: Final answer
    x = 226,289.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.