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Finding the Fourth Proportional to 434,096.20, 651,144.30 and 256,803.40

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Solution

The fourth proportional to 434,096.20, 651,144.30 and 256,803.40 is: 385,205.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,096.20 : 651,144.30 = 256,803.40 : x
  2. Step 2: Convert to fraction form
    434,096.20/651,144.30 = 256,803.40/x
  3. Step 3: Cross multiply
    434,096.20x = 651,144.30 × 256,803.40
  4. Step 4: Simplify right side
    434,096.20x = 167,216,070,130.62
  5. Step 5: Solve for x
    x = 167,216,070,130.62/434,096.20
  6. Step 6: Final answer
    x = 385,205.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.