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Finding the Fourth Proportional to 492,797.08, 738,877.82 and 193,307.93

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Solution

The fourth proportional to 492,797.08, 738,877.82 and 193,307.93 is: 289,837.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,797.08 : 738,877.82 = 193,307.93 : x
  2. Step 2: Convert to fraction form
    492,797.08/738,877.82 = 193,307.93/x
  3. Step 3: Cross multiply
    492,797.08x = 738,877.82 × 193,307.93
  4. Step 4: Simplify right side
    492,797.08x = 142,830,944,173.16
  5. Step 5: Solve for x
    x = 142,830,944,173.16/492,797.08
  6. Step 6: Final answer
    x = 289,837.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.