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Finding the Fourth Proportional to 456,700.80, 684,014.40 and 234,825.60

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Solution

The fourth proportional to 456,700.80, 684,014.40 and 234,825.60 is: 351,705.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,700.80 : 684,014.40 = 234,825.60 : x
  2. Step 2: Convert to fraction form
    456,700.80/684,014.40 = 234,825.60/x
  3. Step 3: Cross multiply
    456,700.80x = 684,014.40 × 234,825.60
  4. Step 4: Simplify right side
    456,700.80x = 160,624,091,888.64
  5. Step 5: Solve for x
    x = 160,624,091,888.64/456,700.80
  6. Step 6: Final answer
    x = 351,705.30

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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.