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Finding the Fourth Proportional to 314,059.94, 433,218.20 and 197,588.22

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Solution

The fourth proportional to 314,059.94, 433,218.20 and 197,588.22 is: 272,555.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,059.94 : 433,218.20 = 197,588.22 : x
  2. Step 2: Convert to fraction form
    314,059.94/433,218.20 = 197,588.22/x
  3. Step 3: Cross multiply
    314,059.94x = 433,218.20 × 197,588.22
  4. Step 4: Simplify right side
    314,059.94x = 85,598,813,009.60
  5. Step 5: Solve for x
    x = 85,598,813,009.60/314,059.94
  6. Step 6: Final answer
    x = 272,555.66

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1.5x scale

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.