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Finding the Fourth Proportional to 473,057.15, 653,156.76 and 292,014.86

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Solution

The fourth proportional to 473,057.15, 653,156.76 and 292,014.86 is: 403,189.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,057.15 : 653,156.76 = 292,014.86 : x
  2. Step 2: Convert to fraction form
    473,057.15/653,156.76 = 292,014.86/x
  3. Step 3: Cross multiply
    473,057.15x = 653,156.76 × 292,014.86
  4. Step 4: Simplify right side
    473,057.15x = 190,731,477,658.73
  5. Step 5: Solve for x
    x = 190,731,477,658.73/473,057.15
  6. Step 6: Final answer
    x = 403,189.09

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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.