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Finding the Fourth Proportional to 291,967.22, 436,841.40 and 178,145.93

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Solution

The fourth proportional to 291,967.22, 436,841.40 and 178,145.93 is: 266,541.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,967.22 : 436,841.40 = 178,145.93 : x
  2. Step 2: Convert to fraction form
    291,967.22/436,841.40 = 178,145.93/x
  3. Step 3: Cross multiply
    291,967.22x = 436,841.40 × 178,145.93
  4. Step 4: Simplify right side
    291,967.22x = 77,821,517,465.50
  5. Step 5: Solve for x
    x = 77,821,517,465.50/291,967.22
  6. Step 6: Final answer
    x = 266,541.97

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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.