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Finding the Fourth Proportional to 314,129.01, 433,507.76 and 178,168.48

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Solution

The fourth proportional to 314,129.01, 433,507.76 and 178,168.48 is: 245,878.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,129.01 : 433,507.76 = 178,168.48 : x
  2. Step 2: Convert to fraction form
    314,129.01/433,507.76 = 178,168.48/x
  3. Step 3: Cross multiply
    314,129.01x = 433,507.76 × 178,168.48
  4. Step 4: Simplify right side
    314,129.01x = 77,237,418,667.40
  5. Step 5: Solve for x
    x = 77,237,418,667.40/314,129.01
  6. Step 6: Final answer
    x = 245,878.02

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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.