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Finding the Fourth Proportional to 231,189.63, 346,784.46 and 64,977.63

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Solution

The fourth proportional to 231,189.63, 346,784.46 and 64,977.63 is: 97,466.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,189.63 : 346,784.46 = 64,977.63 : x
  2. Step 2: Convert to fraction form
    231,189.63/346,784.46 = 64,977.63/x
  3. Step 3: Cross multiply
    231,189.63x = 346,784.46 × 64,977.63
  4. Step 4: Simplify right side
    231,189.63x = 22,533,232,331.63
  5. Step 5: Solve for x
    x = 22,533,232,331.63/231,189.63
  6. Step 6: Final answer
    x = 97,466.45

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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.