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Finding the Fourth Proportional to 601,209, 829,694.50 and 332,937

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Solution

The fourth proportional to 601,209, 829,694.50 and 332,937 is: 459,467.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,209 : 829,694.50 = 332,937 : x
  2. Step 2: Convert to fraction form
    601,209/829,694.50 = 332,937/x
  3. Step 3: Cross multiply
    601,209x = 829,694.50 × 332,937
  4. Step 4: Simplify right side
    601,209x = 276,235,997,746.50
  5. Step 5: Solve for x
    x = 276,235,997,746.50/601,209
  6. Step 6: Final answer
    x = 459,467.50

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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.