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Finding the Fourth Proportional to 434,419.20, 651,628.80 and 301,708.80

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Solution

The fourth proportional to 434,419.20, 651,628.80 and 301,708.80 is: 452,563.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,419.20 : 651,628.80 = 301,708.80 : x
  2. Step 2: Convert to fraction form
    434,419.20/651,628.80 = 301,708.80/x
  3. Step 3: Cross multiply
    434,419.20x = 651,628.80 × 301,708.80
  4. Step 4: Simplify right side
    434,419.20x = 196,602,143,293.44
  5. Step 5: Solve for x
    x = 196,602,143,293.44/434,419.20
  6. Step 6: Final answer
    x = 452,563.20

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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.