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Finding the Fourth Proportional to 314,484.02, 471,580.80 and 101,212.22

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Solution

The fourth proportional to 314,484.02, 471,580.80 and 101,212.22 is: 151,771.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,484.02 : 471,580.80 = 101,212.22 : x
  2. Step 2: Convert to fraction form
    314,484.02/471,580.80 = 101,212.22/x
  3. Step 3: Cross multiply
    314,484.02x = 471,580.80 × 101,212.22
  4. Step 4: Simplify right side
    314,484.02x = 47,729,739,677.38
  5. Step 5: Solve for x
    x = 47,729,739,677.38/314,484.02
  6. Step 6: Final answer
    x = 151,771.59

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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.