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Finding the Fourth Proportional to 397,969.12, 549,108.48 and 333,698.32

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Solution

The fourth proportional to 397,969.12, 549,108.48 and 333,698.32 is: 460,429.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,969.12 : 549,108.48 = 333,698.32 : x
  2. Step 2: Convert to fraction form
    397,969.12/549,108.48 = 333,698.32/x
  3. Step 3: Cross multiply
    397,969.12x = 549,108.48 × 333,698.32
  4. Step 4: Simplify right side
    397,969.12x = 183,236,577,273.75
  5. Step 5: Solve for x
    x = 183,236,577,273.75/397,969.12
  6. Step 6: Final answer
    x = 460,429.13

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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.