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Finding the Fourth Proportional to 564,666.60, 846,999.90 and 284,730.60

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Solution

The fourth proportional to 564,666.60, 846,999.90 and 284,730.60 is: 427,095.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,666.60 : 846,999.90 = 284,730.60 : x
  2. Step 2: Convert to fraction form
    564,666.60/846,999.90 = 284,730.60/x
  3. Step 3: Cross multiply
    564,666.60x = 846,999.90 × 284,730.60
  4. Step 4: Simplify right side
    564,666.60x = 241,166,789,726.94
  5. Step 5: Solve for x
    x = 241,166,789,726.94/564,666.60
  6. Step 6: Final answer
    x = 427,095.90

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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.