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Finding the Fourth Proportional to 461,462.47, 692,242.00 and 124,505.91

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Solution

The fourth proportional to 461,462.47, 692,242.00 and 124,505.91 is: 186,771.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,462.47 : 692,242.00 = 124,505.91 : x
  2. Step 2: Convert to fraction form
    461,462.47/692,242.00 = 124,505.91/x
  3. Step 3: Cross multiply
    461,462.47x = 692,242.00 × 124,505.91
  4. Step 4: Simplify right side
    461,462.47x = 86,188,219,838.96
  5. Step 5: Solve for x
    x = 86,188,219,838.96/461,462.47
  6. Step 6: Final answer
    x = 186,771.90

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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.