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Finding the Fourth Proportional to 314,330.91, 471,588.22 and 101,094.03

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Solution

The fourth proportional to 314,330.91, 471,588.22 and 101,094.03 is: 151,670.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,330.91 : 471,588.22 = 101,094.03 : x
  2. Step 2: Convert to fraction form
    314,330.91/471,588.22 = 101,094.03/x
  3. Step 3: Cross multiply
    314,330.91x = 471,588.22 × 101,094.03
  4. Step 4: Simplify right side
    314,330.91x = 47,674,751,302.39
  5. Step 5: Solve for x
    x = 47,674,751,302.39/314,330.91
  6. Step 6: Final answer
    x = 151,670.58

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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.