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Finding the Fourth Proportional to 614,029.52, 920,963.64 and 193,307.60

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Solution

The fourth proportional to 614,029.52, 920,963.64 and 193,307.60 is: 289,936.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,029.52 : 920,963.64 = 193,307.60 : x
  2. Step 2: Convert to fraction form
    614,029.52/920,963.64 = 193,307.60/x
  3. Step 3: Cross multiply
    614,029.52x = 920,963.64 × 193,307.60
  4. Step 4: Simplify right side
    614,029.52x = 178,029,270,935.66
  5. Step 5: Solve for x
    x = 178,029,270,935.66/614,029.52
  6. Step 6: Final answer
    x = 289,936.01

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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.