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Finding the Fourth Proportional to 461,758.74, 692,707.35 and 162,186.50

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Solution

The fourth proportional to 461,758.74, 692,707.35 and 162,186.50 is: 243,304.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,758.74 : 692,707.35 = 162,186.50 : x
  2. Step 2: Convert to fraction form
    461,758.74/692,707.35 = 162,186.50/x
  3. Step 3: Cross multiply
    461,758.74x = 692,707.35 × 162,186.50
  4. Step 4: Simplify right side
    461,758.74x = 112,347,780,620.78
  5. Step 5: Solve for x
    x = 112,347,780,620.78/461,758.74
  6. Step 6: Final answer
    x = 243,304.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.