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Finding the Fourth Proportional to 470,941.80, 706,412.70 and 204,829.80

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Solution

The fourth proportional to 470,941.80, 706,412.70 and 204,829.80 is: 307,244.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,941.80 : 706,412.70 = 204,829.80 : x
  2. Step 2: Convert to fraction form
    470,941.80/706,412.70 = 204,829.80/x
  3. Step 3: Cross multiply
    470,941.80x = 706,412.70 × 204,829.80
  4. Step 4: Simplify right side
    470,941.80x = 144,694,372,058.46
  5. Step 5: Solve for x
    x = 144,694,372,058.46/470,941.80
  6. Step 6: Final answer
    x = 307,244.70

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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.