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Finding the Fourth Proportional to 467,534.80, 700,841.40 and 230,683.60

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Solution

The fourth proportional to 467,534.80, 700,841.40 and 230,683.60 is: 345,798.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,534.80 : 700,841.40 = 230,683.60 : x
  2. Step 2: Convert to fraction form
    467,534.80/700,841.40 = 230,683.60/x
  3. Step 3: Cross multiply
    467,534.80x = 700,841.40 × 230,683.60
  4. Step 4: Simplify right side
    467,534.80x = 161,672,617,181.04
  5. Step 5: Solve for x
    x = 161,672,617,181.04/467,534.80
  6. Step 6: Final answer
    x = 345,798.04

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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.