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Finding the Fourth Proportional to 501,419.63, 751,422.32 and 276,881.15

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Solution

The fourth proportional to 501,419.63, 751,422.32 and 276,881.15 is: 414,931.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,419.63 : 751,422.32 = 276,881.15 : x
  2. Step 2: Convert to fraction form
    501,419.63/751,422.32 = 276,881.15/x
  3. Step 3: Cross multiply
    501,419.63x = 751,422.32 × 276,881.15
  4. Step 4: Simplify right side
    501,419.63x = 208,054,677,629.72
  5. Step 5: Solve for x
    x = 208,054,677,629.72/501,419.63
  6. Step 6: Final answer
    x = 414,931.26

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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.