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Finding the Fourth Proportional to 357,167.70, 492,897.54 and 196,037.78

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Solution

The fourth proportional to 357,167.70, 492,897.54 and 196,037.78 is: 270,535.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,167.70 : 492,897.54 = 196,037.78 : x
  2. Step 2: Convert to fraction form
    357,167.70/492,897.54 = 196,037.78/x
  3. Step 3: Cross multiply
    357,167.70x = 492,897.54 × 196,037.78
  4. Step 4: Simplify right side
    357,167.70x = 96,626,539,509.06
  5. Step 5: Solve for x
    x = 96,626,539,509.06/357,167.70
  6. Step 6: Final answer
    x = 270,535.49

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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.