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Finding the Fourth Proportional to 291,458.60, 402,214.34 and 164,136.36

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Solution

The fourth proportional to 291,458.60, 402,214.34 and 164,136.36 is: 226,509.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,458.60 : 402,214.34 = 164,136.36 : x
  2. Step 2: Convert to fraction form
    291,458.60/402,214.34 = 164,136.36/x
  3. Step 3: Cross multiply
    291,458.60x = 402,214.34 × 164,136.36
  4. Step 4: Simplify right side
    291,458.60x = 66,017,997,707.40
  5. Step 5: Solve for x
    x = 66,017,997,707.40/291,458.60
  6. Step 6: Final answer
    x = 226,509.01

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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.