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Finding the Fourth Proportional to 429,860.27, 593,055.95 and 257,833.94

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Solution

The fourth proportional to 429,860.27, 593,055.95 and 257,833.94 is: 355,720.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,860.27 : 593,055.95 = 257,833.94 : x
  2. Step 2: Convert to fraction form
    429,860.27/593,055.95 = 257,833.94/x
  3. Step 3: Cross multiply
    429,860.27x = 593,055.95 × 257,833.94
  4. Step 4: Simplify right side
    429,860.27x = 152,909,947,974.49
  5. Step 5: Solve for x
    x = 152,909,947,974.49/429,860.27
  6. Step 6: Final answer
    x = 355,720.12

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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.