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Finding the Fourth Proportional to 412,852, 619,382.08 and 117,364

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Solution

The fourth proportional to 412,852, 619,382.08 and 117,364 is: 176,075.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,852 : 619,382.08 = 117,364 : x
  2. Step 2: Convert to fraction form
    412,852/619,382.08 = 117,364/x
  3. Step 3: Cross multiply
    412,852x = 619,382.08 × 117,364
  4. Step 4: Simplify right side
    412,852x = 72,693,158,437.12
  5. Step 5: Solve for x
    x = 72,693,158,437.12/412,852
  6. Step 6: Final answer
    x = 176,075.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.