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Finding the Fourth Proportional to 429,533.12, 592,769.26 and 257,394.36

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Solution

The fourth proportional to 429,533.12, 592,769.26 and 257,394.36 is: 355,212.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,533.12 : 592,769.26 = 257,394.36 : x
  2. Step 2: Convert to fraction form
    429,533.12/592,769.26 = 257,394.36/x
  3. Step 3: Cross multiply
    429,533.12x = 592,769.26 × 257,394.36
  4. Step 4: Simplify right side
    429,533.12x = 152,575,464,305.37
  5. Step 5: Solve for x
    x = 152,575,464,305.37/429,533.12
  6. Step 6: Final answer
    x = 355,212.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.