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Finding the Fourth Proportional to 642,830.40, 964,245.60 and 169,563.60

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Solution

The fourth proportional to 642,830.40, 964,245.60 and 169,563.60 is: 254,345.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,830.40 : 964,245.60 = 169,563.60 : x
  2. Step 2: Convert to fraction form
    642,830.40/964,245.60 = 169,563.60/x
  3. Step 3: Cross multiply
    642,830.40x = 964,245.60 × 169,563.60
  4. Step 4: Simplify right side
    642,830.40x = 163,500,955,220.16
  5. Step 5: Solve for x
    x = 163,500,955,220.16/642,830.40
  6. Step 6: Final answer
    x = 254,345.40

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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.