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Finding the Fourth Proportional to 601,578, 830,177.64 and 333,306

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Solution

The fourth proportional to 601,578, 830,177.64 and 333,306 is: 459,962.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,578 : 830,177.64 = 333,306 : x
  2. Step 2: Convert to fraction form
    601,578/830,177.64 = 333,306/x
  3. Step 3: Cross multiply
    601,578x = 830,177.64 × 333,306
  4. Step 4: Simplify right side
    601,578x = 276,703,188,477.84
  5. Step 5: Solve for x
    x = 276,703,188,477.84/601,578
  6. Step 6: Final answer
    x = 459,962.28

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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.