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Finding the Fourth Proportional to 461,803.20, 692,186.40 and 237,076.80

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Solution

The fourth proportional to 461,803.20, 692,186.40 and 237,076.80 is: 355,349.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,803.20 : 692,186.40 = 237,076.80 : x
  2. Step 2: Convert to fraction form
    461,803.20/692,186.40 = 237,076.80/x
  3. Step 3: Cross multiply
    461,803.20x = 692,186.40 × 237,076.80
  4. Step 4: Simplify right side
    461,803.20x = 164,101,336,715.52
  5. Step 5: Solve for x
    x = 164,101,336,715.52/461,803.20
  6. Step 6: Final answer
    x = 355,349.07

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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.