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Finding the Fourth Proportional to 353,054.40, 529,711.20 and 142,713.60

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Solution

The fourth proportional to 353,054.40, 529,711.20 and 142,713.60 is: 214,122.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,054.40 : 529,711.20 = 142,713.60 : x
  2. Step 2: Convert to fraction form
    353,054.40/529,711.20 = 142,713.60/x
  3. Step 3: Cross multiply
    353,054.40x = 529,711.20 × 142,713.60
  4. Step 4: Simplify right side
    353,054.40x = 75,596,992,312.32
  5. Step 5: Solve for x
    x = 75,596,992,312.32/353,054.40
  6. Step 6: Final answer
    x = 214,122.79

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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.