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Finding the Fourth Proportional to 313,835.40, 433,129.14 and 186,509.88

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Solution

The fourth proportional to 313,835.40, 433,129.14 and 186,509.88 is: 257,405.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,835.40 : 433,129.14 = 186,509.88 : x
  2. Step 2: Convert to fraction form
    313,835.40/433,129.14 = 186,509.88/x
  3. Step 3: Cross multiply
    313,835.40x = 433,129.14 × 186,509.88
  4. Step 4: Simplify right side
    313,835.40x = 80,782,863,925.90
  5. Step 5: Solve for x
    x = 80,782,863,925.90/313,835.40
  6. Step 6: Final answer
    x = 257,405.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.