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Finding the Fourth Proportional to 312,777.64, 469,094.50 and 186,453.55

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Solution

The fourth proportional to 312,777.64, 469,094.50 and 186,453.55 is: 279,637.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,777.64 : 469,094.50 = 186,453.55 : x
  2. Step 2: Convert to fraction form
    312,777.64/469,094.50 = 186,453.55/x
  3. Step 3: Cross multiply
    312,777.64x = 469,094.50 × 186,453.55
  4. Step 4: Simplify right side
    312,777.64x = 87,464,334,810.48
  5. Step 5: Solve for x
    x = 87,464,334,810.48/312,777.64
  6. Step 6: Final answer
    x = 279,637.43

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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.