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Finding the Fourth Proportional to 380,418.17, 524,970.59 and 210,648.65

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Solution

The fourth proportional to 380,418.17, 524,970.59 and 210,648.65 is: 290,691.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,418.17 : 524,970.59 = 210,648.65 : x
  2. Step 2: Convert to fraction form
    380,418.17/524,970.59 = 210,648.65/x
  3. Step 3: Cross multiply
    380,418.17x = 524,970.59 × 210,648.65
  4. Step 4: Simplify right side
    380,418.17x = 110,584,342,395.11
  5. Step 5: Solve for x
    x = 110,584,342,395.11/380,418.17
  6. Step 6: Final answer
    x = 290,691.54

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