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Finding the Fourth Proportional to 475,871.31, 713,805.19 and 116,038.03

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Solution

The fourth proportional to 475,871.31, 713,805.19 and 116,038.03 is: 174,056.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,871.31 : 713,805.19 = 116,038.03 : x
  2. Step 2: Convert to fraction form
    475,871.31/713,805.19 = 116,038.03/x
  3. Step 3: Cross multiply
    475,871.31x = 713,805.19 × 116,038.03
  4. Step 4: Simplify right side
    475,871.31x = 82,828,548,051.38
  5. Step 5: Solve for x
    x = 82,828,548,051.38/475,871.31
  6. Step 6: Final answer
    x = 174,056.61

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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.