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Finding the Fourth Proportional to 306,405.36, 459,482.28 and 116,934.72

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Solution

The fourth proportional to 306,405.36, 459,482.28 and 116,934.72 is: 175,354.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,405.36 : 459,482.28 = 116,934.72 : x
  2. Step 2: Convert to fraction form
    306,405.36/459,482.28 = 116,934.72/x
  3. Step 3: Cross multiply
    306,405.36x = 459,482.28 × 116,934.72
  4. Step 4: Simplify right side
    306,405.36x = 53,729,431,756.76
  5. Step 5: Solve for x
    x = 53,729,431,756.76/306,405.36
  6. Step 6: Final answer
    x = 175,354.09

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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.