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Finding the Fourth Proportional to 601,425, 829,966.50 and 333,153

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Solution

The fourth proportional to 601,425, 829,966.50 and 333,153 is: 459,751.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,425 : 829,966.50 = 333,153 : x
  2. Step 2: Convert to fraction form
    601,425/829,966.50 = 333,153/x
  3. Step 3: Cross multiply
    601,425x = 829,966.50 × 333,153
  4. Step 4: Simplify right side
    601,425x = 276,505,829,374.50
  5. Step 5: Solve for x
    x = 276,505,829,374.50/601,425
  6. Step 6: Final answer
    x = 459,751.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.