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Finding the Fourth Proportional to 492,038.52, 737,484.30 and 225,827.16

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Solution

The fourth proportional to 492,038.52, 737,484.30 and 225,827.16 is: 338,477.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,038.52 : 737,484.30 = 225,827.16 : x
  2. Step 2: Convert to fraction form
    492,038.52/737,484.30 = 225,827.16/x
  3. Step 3: Cross multiply
    492,038.52x = 737,484.30 × 225,827.16
  4. Step 4: Simplify right side
    492,038.52x = 166,543,985,013.59
  5. Step 5: Solve for x
    x = 166,543,985,013.59/492,038.52
  6. Step 6: Final answer
    x = 338,477.53

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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.