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Finding the Fourth Proportional to 363,196.80, 509,000.40 and 363,196.80

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Solution

The fourth proportional to 363,196.80, 509,000.40 and 363,196.80 is: 509,000.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,196.80 : 509,000.40 = 363,196.80 : x
  2. Step 2: Convert to fraction form
    363,196.80/509,000.40 = 363,196.80/x
  3. Step 3: Cross multiply
    363,196.80x = 509,000.40 × 363,196.80
  4. Step 4: Simplify right side
    363,196.80x = 184,867,316,478.72
  5. Step 5: Solve for x
    x = 184,867,316,478.72/363,196.80
  6. Step 6: Final answer
    x = 509,000.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.