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Finding the Fourth Proportional to 402,994.32, 604,703.16 and 178,509.84

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Solution

The fourth proportional to 402,994.32, 604,703.16 and 178,509.84 is: 267,858.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,994.32 : 604,703.16 = 178,509.84 : x
  2. Step 2: Convert to fraction form
    402,994.32/604,703.16 = 178,509.84/x
  3. Step 3: Cross multiply
    402,994.32x = 604,703.16 × 178,509.84
  4. Step 4: Simplify right side
    402,994.32x = 107,945,464,339.09
  5. Step 5: Solve for x
    x = 107,945,464,339.09/402,994.32
  6. Step 6: Final answer
    x = 267,858.53

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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.