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Finding the Fourth Proportional to 601,441, 829,988.58 and 333,169

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Solution

The fourth proportional to 601,441, 829,988.58 and 333,169 is: 459,773.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,441 : 829,988.58 = 333,169 : x
  2. Step 2: Convert to fraction form
    601,441/829,988.58 = 333,169/x
  3. Step 3: Cross multiply
    601,441x = 829,988.58 × 333,169
  4. Step 4: Simplify right side
    601,441x = 276,526,465,210.02
  5. Step 5: Solve for x
    x = 276,526,465,210.02/601,441
  6. Step 6: Final answer
    x = 459,773.22

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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.