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Finding the Fourth Proportional to 286,518.52, 429,863.64 and 115,652.26

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Solution

The fourth proportional to 286,518.52, 429,863.64 and 115,652.26 is: 173,513.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,518.52 : 429,863.64 = 115,652.26 : x
  2. Step 2: Convert to fraction form
    286,518.52/429,863.64 = 115,652.26/x
  3. Step 3: Cross multiply
    286,518.52x = 429,863.64 × 115,652.26
  4. Step 4: Simplify right side
    286,518.52x = 49,714,701,457.83
  5. Step 5: Solve for x
    x = 49,714,701,457.83/286,518.52
  6. Step 6: Final answer
    x = 173,513.05

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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.