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Finding the Fourth Proportional to 473,447.86, 710,174.50 and 157,903.85

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Solution

The fourth proportional to 473,447.86, 710,174.50 and 157,903.85 is: 236,856.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,447.86 : 710,174.50 = 157,903.85 : x
  2. Step 2: Convert to fraction form
    473,447.86/710,174.50 = 157,903.85/x
  3. Step 3: Cross multiply
    473,447.86x = 710,174.50 × 157,903.85
  4. Step 4: Simplify right side
    473,447.86x = 112,139,289,102.50
  5. Step 5: Solve for x
    x = 112,139,289,102.50/473,447.86
  6. Step 6: Final answer
    x = 236,856.68

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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.