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Finding the Fourth Proportional to 306,051.60, 459,077.40 and 211,573.20

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Solution

The fourth proportional to 306,051.60, 459,077.40 and 211,573.20 is: 317,359.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,051.60 : 459,077.40 = 211,573.20 : x
  2. Step 2: Convert to fraction form
    306,051.60/459,077.40 = 211,573.20/x
  3. Step 3: Cross multiply
    306,051.60x = 459,077.40 × 211,573.20
  4. Step 4: Simplify right side
    306,051.60x = 97,128,474,565.68
  5. Step 5: Solve for x
    x = 97,128,474,565.68/306,051.60
  6. Step 6: Final answer
    x = 317,359.80

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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.