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Finding the Fourth Proportional to 294,148.32, 405,920.88 and 160,012.32

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Solution

The fourth proportional to 294,148.32, 405,920.88 and 160,012.32 is: 220,814.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,148.32 : 405,920.88 = 160,012.32 : x
  2. Step 2: Convert to fraction form
    294,148.32/405,920.88 = 160,012.32/x
  3. Step 3: Cross multiply
    294,148.32x = 405,920.88 × 160,012.32
  4. Step 4: Simplify right side
    294,148.32x = 64,952,341,745.24
  5. Step 5: Solve for x
    x = 64,952,341,745.24/294,148.32
  6. Step 6: Final answer
    x = 220,814.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.