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Finding the Fourth Proportional to 473,037.86, 652,692.30 and 300,893.16

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Solution

The fourth proportional to 473,037.86, 652,692.30 and 300,893.16 is: 415,168.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,037.86 : 652,692.30 = 300,893.16 : x
  2. Step 2: Convert to fraction form
    473,037.86/652,692.30 = 300,893.16/x
  3. Step 3: Cross multiply
    473,037.86x = 652,692.30 × 300,893.16
  4. Step 4: Simplify right side
    473,037.86x = 196,390,648,654.67
  5. Step 5: Solve for x
    x = 196,390,648,654.67/473,037.86
  6. Step 6: Final answer
    x = 415,168.99

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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.