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Finding the Fourth Proportional to 475,870.44, 713,871.66 and 160,417.56

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Solution

The fourth proportional to 475,870.44, 713,871.66 and 160,417.56 is: 240,648.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,870.44 : 713,871.66 = 160,417.56 : x
  2. Step 2: Convert to fraction form
    475,870.44/713,871.66 = 160,417.56/x
  3. Step 3: Cross multiply
    475,870.44x = 713,871.66 × 160,417.56
  4. Step 4: Simplify right side
    475,870.44x = 114,517,549,850.35
  5. Step 5: Solve for x
    x = 114,517,549,850.35/475,870.44
  6. Step 6: Final answer
    x = 240,648.59

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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.