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Finding the Fourth Proportional to 380,375.04, 524,924 and 208,290.24

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Solution

The fourth proportional to 380,375.04, 524,924 and 208,290.24 is: 287,444.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,375.04 : 524,924 = 208,290.24 : x
  2. Step 2: Convert to fraction form
    380,375.04/524,924 = 208,290.24/x
  3. Step 3: Cross multiply
    380,375.04x = 524,924 × 208,290.24
  4. Step 4: Simplify right side
    380,375.04x = 109,336,545,941.76
  5. Step 5: Solve for x
    x = 109,336,545,941.76/380,375.04
  6. Step 6: Final answer
    x = 287,444.06

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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.