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Finding the Fourth Proportional to 377,875.56, 566,799.84 and 164,643.06

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Solution

The fourth proportional to 377,875.56, 566,799.84 and 164,643.06 is: 246,958.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,875.56 : 566,799.84 = 164,643.06 : x
  2. Step 2: Convert to fraction form
    377,875.56/566,799.84 = 164,643.06/x
  3. Step 3: Cross multiply
    377,875.56x = 566,799.84 × 164,643.06
  4. Step 4: Simplify right side
    377,875.56x = 93,319,660,065.11
  5. Step 5: Solve for x
    x = 93,319,660,065.11/377,875.56
  6. Step 6: Final answer
    x = 246,958.71

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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.