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Finding the Fourth Proportional to 307,215.64, 460,779.72 and 96,826.24

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Solution

The fourth proportional to 307,215.64, 460,779.72 and 96,826.24 is: 145,225.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,215.64 : 460,779.72 = 96,826.24 : x
  2. Step 2: Convert to fraction form
    307,215.64/460,779.72 = 96,826.24/x
  3. Step 3: Cross multiply
    307,215.64x = 460,779.72 × 96,826.24
  4. Step 4: Simplify right side
    307,215.64x = 44,615,567,755.85
  5. Step 5: Solve for x
    x = 44,615,567,755.85/307,215.64
  6. Step 6: Final answer
    x = 145,225.57

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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.