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Finding the Fourth Proportional to 314,457.42, 433,945.62 and 171,214.86

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Solution

The fourth proportional to 314,457.42, 433,945.62 and 171,214.86 is: 236,273.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,457.42 : 433,945.62 = 171,214.86 : x
  2. Step 2: Convert to fraction form
    314,457.42/433,945.62 = 171,214.86/x
  3. Step 3: Cross multiply
    314,457.42x = 433,945.62 × 171,214.86
  4. Step 4: Simplify right side
    314,457.42x = 74,297,938,575.91
  5. Step 5: Solve for x
    x = 74,297,938,575.91/314,457.42
  6. Step 6: Final answer
    x = 236,273.45

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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.