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Finding the Fourth Proportional to 547,012.32, 754,875.36 and 305,292.24

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Solution

The fourth proportional to 547,012.32, 754,875.36 and 305,292.24 is: 421,302.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,012.32 : 754,875.36 = 305,292.24 : x
  2. Step 2: Convert to fraction form
    547,012.32/754,875.36 = 305,292.24/x
  3. Step 3: Cross multiply
    547,012.32x = 754,875.36 × 305,292.24
  4. Step 4: Simplify right side
    547,012.32x = 230,457,589,575.21
  5. Step 5: Solve for x
    x = 230,457,589,575.21/547,012.32
  6. Step 6: Final answer
    x = 421,302.38

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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.