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Finding the Fourth Proportional to 417,145.82, 575,657.76 and 235,893.34

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Solution

The fourth proportional to 417,145.82, 575,657.76 and 235,893.34 is: 325,530.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,145.82 : 575,657.76 = 235,893.34 : x
  2. Step 2: Convert to fraction form
    417,145.82/575,657.76 = 235,893.34/x
  3. Step 3: Cross multiply
    417,145.82x = 575,657.76 × 235,893.34
  4. Step 4: Simplify right side
    417,145.82x = 135,793,831,703.32
  5. Step 5: Solve for x
    x = 135,793,831,703.32/417,145.82
  6. Step 6: Final answer
    x = 325,530.85

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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.