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Finding the Fourth Proportional to 461,325.15, 691,659.63 and 176,774.58

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Solution

The fourth proportional to 461,325.15, 691,659.63 and 176,774.58 is: 265,036.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,325.15 : 691,659.63 = 176,774.58 : x
  2. Step 2: Convert to fraction form
    461,325.15/691,659.63 = 176,774.58/x
  3. Step 3: Cross multiply
    461,325.15x = 691,659.63 × 176,774.58
  4. Step 4: Simplify right side
    461,325.15x = 122,267,840,596.21
  5. Step 5: Solve for x
    x = 122,267,840,596.21/461,325.15
  6. Step 6: Final answer
    x = 265,036.15

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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.