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Finding the Fourth Proportional to 536,009.80, 804,629.10 and 314,518.60

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Solution

The fourth proportional to 536,009.80, 804,629.10 and 314,518.60 is: 472,138.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,009.80 : 804,629.10 = 314,518.60 : x
  2. Step 2: Convert to fraction form
    536,009.80/804,629.10 = 314,518.60/x
  3. Step 3: Cross multiply
    536,009.80x = 804,629.10 × 314,518.60
  4. Step 4: Simplify right side
    536,009.80x = 253,070,818,051.26
  5. Step 5: Solve for x
    x = 253,070,818,051.26/536,009.80
  6. Step 6: Final answer
    x = 472,138.42

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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.