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Finding the Fourth Proportional to 517,799.44, 714,784.32 and 348,132

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Solution

The fourth proportional to 517,799.44, 714,784.32 and 348,132 is: 480,570.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,799.44 : 714,784.32 = 348,132 : x
  2. Step 2: Convert to fraction form
    517,799.44/714,784.32 = 348,132/x
  3. Step 3: Cross multiply
    517,799.44x = 714,784.32 × 348,132
  4. Step 4: Simplify right side
    517,799.44x = 248,839,294,890.24
  5. Step 5: Solve for x
    x = 248,839,294,890.24/517,799.44
  6. Step 6: Final answer
    x = 480,570.81

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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.