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Finding the Fourth Proportional to 434,539.20, 651,808.80 and 154,084.80

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Solution

The fourth proportional to 434,539.20, 651,808.80 and 154,084.80 is: 231,127.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,539.20 : 651,808.80 = 154,084.80 : x
  2. Step 2: Convert to fraction form
    434,539.20/651,808.80 = 154,084.80/x
  3. Step 3: Cross multiply
    434,539.20x = 651,808.80 × 154,084.80
  4. Step 4: Simplify right side
    434,539.20x = 100,433,828,586.24
  5. Step 5: Solve for x
    x = 100,433,828,586.24/434,539.20
  6. Step 6: Final answer
    x = 231,127.20

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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.