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Finding the Fourth Proportional to 352,461.60, 527,817.60 and 282,477.60

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Solution

The fourth proportional to 352,461.60, 527,817.60 and 282,477.60 is: 423,015.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,461.60 : 527,817.60 = 282,477.60 : x
  2. Step 2: Convert to fraction form
    352,461.60/527,817.60 = 282,477.60/x
  3. Step 3: Cross multiply
    352,461.60x = 527,817.60 × 282,477.60
  4. Step 4: Simplify right side
    352,461.60x = 149,096,648,885.76
  5. Step 5: Solve for x
    x = 149,096,648,885.76/352,461.60
  6. Step 6: Final answer
    x = 423,015.30

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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.