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Finding the Fourth Proportional to 472,955.60, 709,433.40 and 295,662.80

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Solution

The fourth proportional to 472,955.60, 709,433.40 and 295,662.80 is: 443,494.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,955.60 : 709,433.40 = 295,662.80 : x
  2. Step 2: Convert to fraction form
    472,955.60/709,433.40 = 295,662.80/x
  3. Step 3: Cross multiply
    472,955.60x = 709,433.40 × 295,662.80
  4. Step 4: Simplify right side
    472,955.60x = 209,753,065,457.52
  5. Step 5: Solve for x
    x = 209,753,065,457.52/472,955.60
  6. Step 6: Final answer
    x = 443,494.20

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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.