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Finding the Fourth Proportional to 460,858.02, 690,374.63 and 217,365.64

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Solution

The fourth proportional to 460,858.02, 690,374.63 and 217,365.64 is: 325,618.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,858.02 : 690,374.63 = 217,365.64 : x
  2. Step 2: Convert to fraction form
    460,858.02/690,374.63 = 217,365.64/x
  3. Step 3: Cross multiply
    460,858.02x = 690,374.63 × 217,365.64
  4. Step 4: Simplify right side
    460,858.02x = 150,063,722,202.89
  5. Step 5: Solve for x
    x = 150,063,722,202.89/460,858.02
  6. Step 6: Final answer
    x = 325,618.12

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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.