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Finding the Fourth Proportional to 380,281.99, 524,795.34 and 208,197.05

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Solution

The fourth proportional to 380,281.99, 524,795.34 and 208,197.05 is: 287,315.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,281.99 : 524,795.34 = 208,197.05 : x
  2. Step 2: Convert to fraction form
    380,281.99/524,795.34 = 208,197.05/x
  3. Step 3: Cross multiply
    380,281.99x = 524,795.34 × 208,197.05
  4. Step 4: Simplify right side
    380,281.99x = 109,260,841,641.75
  5. Step 5: Solve for x
    x = 109,260,841,641.75/380,281.99
  6. Step 6: Final answer
    x = 287,315.32

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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.