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Finding the Fourth Proportional to 306,345.60, 422,724.51 and 170,357.55

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Solution

The fourth proportional to 306,345.60, 422,724.51 and 170,357.55 is: 235,075.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,345.60 : 422,724.51 = 170,357.55 : x
  2. Step 2: Convert to fraction form
    306,345.60/422,724.51 = 170,357.55/x
  3. Step 3: Cross multiply
    306,345.60x = 422,724.51 × 170,357.55
  4. Step 4: Simplify right side
    306,345.60x = 72,014,311,848.55
  5. Step 5: Solve for x
    x = 72,014,311,848.55/306,345.60
  6. Step 6: Final answer
    x = 235,075.39

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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.