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Finding the Fourth Proportional to 601,882, 830,597.28 and 333,610

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Solution

The fourth proportional to 601,882, 830,597.28 and 333,610 is: 460,381.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,882 : 830,597.28 = 333,610 : x
  2. Step 2: Convert to fraction form
    601,882/830,597.28 = 333,610/x
  3. Step 3: Cross multiply
    601,882x = 830,597.28 × 333,610
  4. Step 4: Simplify right side
    601,882x = 277,095,558,580.80
  5. Step 5: Solve for x
    x = 277,095,558,580.80/601,882
  6. Step 6: Final answer
    x = 460,381.87

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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.