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Finding the Fourth Proportional to 380,545.68, 525,146.37 and 208,467.06

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Solution

The fourth proportional to 380,545.68, 525,146.37 and 208,467.06 is: 287,680.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,545.68 : 525,146.37 = 208,467.06 : x
  2. Step 2: Convert to fraction form
    380,545.68/525,146.37 = 208,467.06/x
  3. Step 3: Cross multiply
    380,545.68x = 525,146.37 × 208,467.06
  4. Step 4: Simplify right side
    380,545.68x = 109,475,719,823.57
  5. Step 5: Solve for x
    x = 109,475,719,823.57/380,545.68
  6. Step 6: Final answer
    x = 287,680.89

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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.