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Finding the Fourth Proportional to 473,829.60, 710,485.20 and 193,029.60

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Solution

The fourth proportional to 473,829.60, 710,485.20 and 193,029.60 is: 289,438.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,829.60 : 710,485.20 = 193,029.60 : x
  2. Step 2: Convert to fraction form
    473,829.60/710,485.20 = 193,029.60/x
  3. Step 3: Cross multiply
    473,829.60x = 710,485.20 × 193,029.60
  4. Step 4: Simplify right side
    473,829.60x = 137,144,673,961.92
  5. Step 5: Solve for x
    x = 137,144,673,961.92/473,829.60
  6. Step 6: Final answer
    x = 289,438.81

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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.