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Finding the Fourth Proportional to 492,572.16, 737,648.64 and 314,553.60

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Solution

The fourth proportional to 492,572.16, 737,648.64 and 314,553.60 is: 471,057.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,572.16 : 737,648.64 = 314,553.60 : x
  2. Step 2: Convert to fraction form
    492,572.16/737,648.64 = 314,553.60/x
  3. Step 3: Cross multiply
    492,572.16x = 737,648.64 × 314,553.60
  4. Step 4: Simplify right side
    492,572.16x = 232,030,035,247.10
  5. Step 5: Solve for x
    x = 232,030,035,247.10/492,572.16
  6. Step 6: Final answer
    x = 471,057.96

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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.