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Finding the Fourth Proportional to 429,283.88, 592,473.36 and 257,208.64

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Solution

The fourth proportional to 429,283.88, 592,473.36 and 257,208.64 is: 354,984.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,283.88 : 592,473.36 = 257,208.64 : x
  2. Step 2: Convert to fraction form
    429,283.88/592,473.36 = 257,208.64/x
  3. Step 3: Cross multiply
    429,283.88x = 592,473.36 × 257,208.64
  4. Step 4: Simplify right side
    429,283.88x = 152,389,267,161.83
  5. Step 5: Solve for x
    x = 152,389,267,161.83/429,283.88
  6. Step 6: Final answer
    x = 354,984.83

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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.