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Finding the Fourth Proportional to 546,971.69, 754,897.02 and 305,269.84

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Solution

The fourth proportional to 546,971.69, 754,897.02 and 305,269.84 is: 421,314.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,971.69 : 754,897.02 = 305,269.84 : x
  2. Step 2: Convert to fraction form
    546,971.69/754,897.02 = 305,269.84/x
  3. Step 3: Cross multiply
    546,971.69x = 754,897.02 × 305,269.84
  4. Step 4: Simplify right side
    546,971.69x = 230,447,290,624.63
  5. Step 5: Solve for x
    x = 230,447,290,624.63/546,971.69
  6. Step 6: Final answer
    x = 421,314.84

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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.