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Finding the Fourth Proportional to 286,999.36, 430,494.72 and 129,116.32

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Solution

The fourth proportional to 286,999.36, 430,494.72 and 129,116.32 is: 193,672.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,999.36 : 430,494.72 = 129,116.32 : x
  2. Step 2: Convert to fraction form
    286,999.36/430,494.72 = 129,116.32/x
  3. Step 3: Cross multiply
    286,999.36x = 430,494.72 × 129,116.32
  4. Step 4: Simplify right side
    286,999.36x = 55,583,894,025.83
  5. Step 5: Solve for x
    x = 55,583,894,025.83/286,999.36
  6. Step 6: Final answer
    x = 193,672.54

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1.5x scale

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.