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Finding the Fourth Proportional to 517,276, 713,840.88 and 290,926.36

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Solution

The fourth proportional to 517,276, 713,840.88 and 290,926.36 is: 401,478.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,276 : 713,840.88 = 290,926.36 : x
  2. Step 2: Convert to fraction form
    517,276/713,840.88 = 290,926.36/x
  3. Step 3: Cross multiply
    517,276x = 713,840.88 × 290,926.36
  4. Step 4: Simplify right side
    517,276x = 207,675,128,837.60
  5. Step 5: Solve for x
    x = 207,675,128,837.60/517,276
  6. Step 6: Final answer
    x = 401,478.38

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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.