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Finding the Fourth Proportional to 492,095.52, 737,569.80 and 225,884.16

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Solution

The fourth proportional to 492,095.52, 737,569.80 and 225,884.16 is: 338,563.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,095.52 : 737,569.80 = 225,884.16 : x
  2. Step 2: Convert to fraction form
    492,095.52/737,569.80 = 225,884.16/x
  3. Step 3: Cross multiply
    492,095.52x = 737,569.80 × 225,884.16
  4. Step 4: Simplify right side
    492,095.52x = 166,605,334,714.37
  5. Step 5: Solve for x
    x = 166,605,334,714.37/492,095.52
  6. Step 6: Final answer
    x = 338,563.00

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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.