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Finding the Fourth Proportional to 355,970.68, 491,417.28 and 205,038.52

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Solution

The fourth proportional to 355,970.68, 491,417.28 and 205,038.52 is: 283,055.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,970.68 : 491,417.28 = 205,038.52 : x
  2. Step 2: Convert to fraction form
    355,970.68/491,417.28 = 205,038.52/x
  3. Step 3: Cross multiply
    355,970.68x = 491,417.28 × 205,038.52
  4. Step 4: Simplify right side
    355,970.68x = 100,759,471,793.63
  5. Step 5: Solve for x
    x = 100,759,471,793.63/355,970.68
  6. Step 6: Final answer
    x = 283,055.54

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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.