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Finding the Fourth Proportional to 209,409.44, 314,114.19 and 146,352.72

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Solution

The fourth proportional to 209,409.44, 314,114.19 and 146,352.72 is: 219,529.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,409.44 : 314,114.19 = 146,352.72 : x
  2. Step 2: Convert to fraction form
    209,409.44/314,114.19 = 146,352.72/x
  3. Step 3: Cross multiply
    209,409.44x = 314,114.19 × 146,352.72
  4. Step 4: Simplify right side
    209,409.44x = 45,971,465,365.33
  5. Step 5: Solve for x
    x = 45,971,465,365.33/209,409.44
  6. Step 6: Final answer
    x = 219,529.10

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1.5x scale

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.