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Finding the Fourth Proportional to 470,537.40, 704,769.30 and 329,532.60

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Solution

The fourth proportional to 470,537.40, 704,769.30 and 329,532.60 is: 493,572.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,537.40 : 704,769.30 = 329,532.60 : x
  2. Step 2: Convert to fraction form
    470,537.40/704,769.30 = 329,532.60/x
  3. Step 3: Cross multiply
    470,537.40x = 704,769.30 × 329,532.60
  4. Step 4: Simplify right side
    470,537.40x = 232,244,459,829.18
  5. Step 5: Solve for x
    x = 232,244,459,829.18/470,537.40
  6. Step 6: Final answer
    x = 493,572.80

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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.