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Finding the Fourth Proportional to 369,446.72, 509,840.16 and 199,684.16

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Solution

The fourth proportional to 369,446.72, 509,840.16 and 199,684.16 is: 275,566.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,446.72 : 509,840.16 = 199,684.16 : x
  2. Step 2: Convert to fraction form
    369,446.72/509,840.16 = 199,684.16/x
  3. Step 3: Cross multiply
    369,446.72x = 509,840.16 × 199,684.16
  4. Step 4: Simplify right side
    369,446.72x = 101,807,004,083.87
  5. Step 5: Solve for x
    x = 101,807,004,083.87/369,446.72
  6. Step 6: Final answer
    x = 275,566.13

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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.