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Finding the Fourth Proportional to 429,527.37, 592,761.33 and 257,388.60

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Solution

The fourth proportional to 429,527.37, 592,761.33 and 257,388.60 is: 355,204.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,527.37 : 592,761.33 = 257,388.60 : x
  2. Step 2: Convert to fraction form
    429,527.37/592,761.33 = 257,388.60/x
  3. Step 3: Cross multiply
    429,527.37x = 592,761.33 × 257,388.60
  4. Step 4: Simplify right side
    429,527.37x = 152,570,008,862.84
  5. Step 5: Solve for x
    x = 152,570,008,862.84/429,527.37
  6. Step 6: Final answer
    x = 355,204.39

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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.