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Finding the Fourth Proportional to 546,866.16, 754,674.28 and 305,134.16

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Solution

The fourth proportional to 546,866.16, 754,674.28 and 305,134.16 is: 421,084.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,866.16 : 754,674.28 = 305,134.16 : x
  2. Step 2: Convert to fraction form
    546,866.16/754,674.28 = 305,134.16/x
  3. Step 3: Cross multiply
    546,866.16x = 754,674.28 × 305,134.16
  4. Step 4: Simplify right side
    546,866.16x = 230,276,902,501.41
  5. Step 5: Solve for x
    x = 230,276,902,501.41/546,866.16
  6. Step 6: Final answer
    x = 421,084.57

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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.