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Finding the Fourth Proportional to 430,226.88, 593,620.32 and 260,468.16

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Solution

The fourth proportional to 430,226.88, 593,620.32 and 260,468.16 is: 359,389.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,226.88 : 593,620.32 = 260,468.16 : x
  2. Step 2: Convert to fraction form
    430,226.88/593,620.32 = 260,468.16/x
  3. Step 3: Cross multiply
    430,226.88x = 593,620.32 × 260,468.16
  4. Step 4: Simplify right side
    430,226.88x = 154,619,192,489.01
  5. Step 5: Solve for x
    x = 154,619,192,489.01/430,226.88
  6. Step 6: Final answer
    x = 359,389.89

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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.