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Finding the Fourth Proportional to 470,893.17, 706,323.88 and 204,653.71

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Solution

The fourth proportional to 470,893.17, 706,323.88 and 204,653.71 is: 306,973.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,893.17 : 706,323.88 = 204,653.71 : x
  2. Step 2: Convert to fraction form
    470,893.17/706,323.88 = 204,653.71/x
  3. Step 3: Cross multiply
    470,893.17x = 706,323.88 × 204,653.71
  4. Step 4: Simplify right side
    470,893.17x = 144,551,802,503.60
  5. Step 5: Solve for x
    x = 144,551,802,503.60/470,893.17
  6. Step 6: Final answer
    x = 306,973.67

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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.