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Finding the Fourth Proportional to 459,296.46, 688,957.65 and 126,872.46

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Solution

The fourth proportional to 459,296.46, 688,957.65 and 126,872.46 is: 190,312.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,296.46 : 688,957.65 = 126,872.46 : x
  2. Step 2: Convert to fraction form
    459,296.46/688,957.65 = 126,872.46/x
  3. Step 3: Cross multiply
    459,296.46x = 688,957.65 × 126,872.46
  4. Step 4: Simplify right side
    459,296.46x = 87,409,751,891.32
  5. Step 5: Solve for x
    x = 87,409,751,891.32/459,296.46
  6. Step 6: Final answer
    x = 190,312.27

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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.