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Finding the Fourth Proportional to 461,245.47, 691,897.37 and 194,970.93

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Solution

The fourth proportional to 461,245.47, 691,897.37 and 194,970.93 is: 292,468.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,245.47 : 691,897.37 = 194,970.93 : x
  2. Step 2: Convert to fraction form
    461,245.47/691,897.37 = 194,970.93/x
  3. Step 3: Cross multiply
    461,245.47x = 691,897.37 × 194,970.93
  4. Step 4: Simplify right side
    461,245.47x = 134,899,872,718.60
  5. Step 5: Solve for x
    x = 134,899,872,718.60/461,245.47
  6. Step 6: Final answer
    x = 292,468.72

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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.