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Finding the Fourth Proportional to 314,322.56, 433,774.49 and 193,533.51

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Solution

The fourth proportional to 314,322.56, 433,774.49 and 193,533.51 is: 267,082.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,322.56 : 433,774.49 = 193,533.51 : x
  2. Step 2: Convert to fraction form
    314,322.56/433,774.49 = 193,533.51/x
  3. Step 3: Cross multiply
    314,322.56x = 433,774.49 × 193,533.51
  4. Step 4: Simplify right side
    314,322.56x = 83,949,898,630.49
  5. Step 5: Solve for x
    x = 83,949,898,630.49/314,322.56
  6. Step 6: Final answer
    x = 267,082.01

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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.