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Finding the Fourth Proportional to 514,583.30, 710,114.34 and 285,138.62

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Solution

The fourth proportional to 514,583.30, 710,114.34 and 285,138.62 is: 393,485.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,583.30 : 710,114.34 = 285,138.62 : x
  2. Step 2: Convert to fraction form
    514,583.30/710,114.34 = 285,138.62/x
  3. Step 3: Cross multiply
    514,583.30x = 710,114.34 × 285,138.62
  4. Step 4: Simplify right side
    514,583.30x = 202,481,022,949.81
  5. Step 5: Solve for x
    x = 202,481,022,949.81/514,583.30
  6. Step 6: Final answer
    x = 393,485.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.