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Finding the Fourth Proportional to 314,937.60, 472,406.40 and 293,942.40

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Solution

The fourth proportional to 314,937.60, 472,406.40 and 293,942.40 is: 440,913.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,937.60 : 472,406.40 = 293,942.40 : x
  2. Step 2: Convert to fraction form
    314,937.60/472,406.40 = 293,942.40/x
  3. Step 3: Cross multiply
    314,937.60x = 472,406.40 × 293,942.40
  4. Step 4: Simplify right side
    314,937.60x = 138,860,270,991.36
  5. Step 5: Solve for x
    x = 138,860,270,991.36/314,937.60
  6. Step 6: Final answer
    x = 440,913.60

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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.