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Finding the Fourth Proportional to 383,930.32, 529,733.64 and 232,998.16

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Solution

The fourth proportional to 383,930.32, 529,733.64 and 232,998.16 is: 321,482.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,930.32 : 529,733.64 = 232,998.16 : x
  2. Step 2: Convert to fraction form
    383,930.32/529,733.64 = 232,998.16/x
  3. Step 3: Cross multiply
    383,930.32x = 529,733.64 × 232,998.16
  4. Step 4: Simplify right side
    383,930.32x = 123,426,963,410.10
  5. Step 5: Solve for x
    x = 123,426,963,410.10/383,930.32
  6. Step 6: Final answer
    x = 321,482.72

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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.