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Finding the Fourth Proportional to 476,090.60, 714,135.18 and 195,410.12

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Solution

The fourth proportional to 476,090.60, 714,135.18 and 195,410.12 is: 293,114.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,090.60 : 714,135.18 = 195,410.12 : x
  2. Step 2: Convert to fraction form
    476,090.60/714,135.18 = 195,410.12/x
  3. Step 3: Cross multiply
    476,090.60x = 714,135.18 × 195,410.12
  4. Step 4: Simplify right side
    476,090.60x = 139,549,241,220.02
  5. Step 5: Solve for x
    x = 139,549,241,220.02/476,090.60
  6. Step 6: Final answer
    x = 293,114.88

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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.