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Finding the Fourth Proportional to 384,925.30, 576,005.55 and 260,509.30

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Solution

The fourth proportional to 384,925.30, 576,005.55 and 260,509.30 is: 389,828.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,925.30 : 576,005.55 = 260,509.30 : x
  2. Step 2: Convert to fraction form
    384,925.30/576,005.55 = 260,509.30/x
  3. Step 3: Cross multiply
    384,925.30x = 576,005.55 × 260,509.30
  4. Step 4: Simplify right side
    384,925.30x = 150,054,802,626.62
  5. Step 5: Solve for x
    x = 150,054,802,626.62/384,925.30
  6. Step 6: Final answer
    x = 389,828.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.