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Finding the Fourth Proportional to 306,007.60, 459,011.40 and 235,148.80

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Solution

The fourth proportional to 306,007.60, 459,011.40 and 235,148.80 is: 352,723.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,007.60 : 459,011.40 = 235,148.80 : x
  2. Step 2: Convert to fraction form
    306,007.60/459,011.40 = 235,148.80/x
  3. Step 3: Cross multiply
    306,007.60x = 459,011.40 × 235,148.80
  4. Step 4: Simplify right side
    306,007.60x = 107,935,979,896.32
  5. Step 5: Solve for x
    x = 107,935,979,896.32/306,007.60
  6. Step 6: Final answer
    x = 352,723.20

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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.