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Finding the Fourth Proportional to 264,268.07, 364,686 and 155,384.71

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Solution

The fourth proportional to 264,268.07, 364,686 and 155,384.71 is: 214,428.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,268.07 : 364,686 = 155,384.71 : x
  2. Step 2: Convert to fraction form
    264,268.07/364,686 = 155,384.71/x
  3. Step 3: Cross multiply
    264,268.07x = 364,686 × 155,384.71
  4. Step 4: Simplify right side
    264,268.07x = 56,666,628,351.06
  5. Step 5: Solve for x
    x = 56,666,628,351.06/264,268.07
  6. Step 6: Final answer
    x = 214,428.59

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Why These Related Problems?

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