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Finding the Fourth Proportional to 470,479.68, 705,718.44 and 204,205.68

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Solution

The fourth proportional to 470,479.68, 705,718.44 and 204,205.68 is: 306,308.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,479.68 : 705,718.44 = 204,205.68 : x
  2. Step 2: Convert to fraction form
    470,479.68/705,718.44 = 204,205.68/x
  3. Step 3: Cross multiply
    470,479.68x = 705,718.44 × 204,205.68
  4. Step 4: Simplify right side
    470,479.68x = 144,111,713,928.74
  5. Step 5: Solve for x
    x = 144,111,713,928.74/470,479.68
  6. Step 6: Final answer
    x = 306,308.05

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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.