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Finding the Fourth Proportional to 470,527.88, 705,394.88 and 204,087.68

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Solution

The fourth proportional to 470,527.88, 705,394.88 and 204,087.68 is: 305,959.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,527.88 : 705,394.88 = 204,087.68 : x
  2. Step 2: Convert to fraction form
    470,527.88/705,394.88 = 204,087.68/x
  3. Step 3: Cross multiply
    470,527.88x = 705,394.88 × 204,087.68
  4. Step 4: Simplify right side
    470,527.88x = 143,962,404,543.08
  5. Step 5: Solve for x
    x = 143,962,404,543.08/470,527.88
  6. Step 6: Final answer
    x = 305,959.35

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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.