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Finding the Fourth Proportional to 416,735.42, 575,094.32 and 225,749.58

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Solution

The fourth proportional to 416,735.42, 575,094.32 and 225,749.58 is: 311,534.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,735.42 : 575,094.32 = 225,749.58 : x
  2. Step 2: Convert to fraction form
    416,735.42/575,094.32 = 225,749.58/x
  3. Step 3: Cross multiply
    416,735.42x = 575,094.32 × 225,749.58
  4. Step 4: Simplify right side
    416,735.42x = 129,827,301,200.39
  5. Step 5: Solve for x
    x = 129,827,301,200.39/416,735.42
  6. Step 6: Final answer
    x = 311,534.12

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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.