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Finding the Fourth Proportional to 531,513.22, 797,430.77 and 189,911.90

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Solution

The fourth proportional to 531,513.22, 797,430.77 and 189,911.90 is: 284,925.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,513.22 : 797,430.77 = 189,911.90 : x
  2. Step 2: Convert to fraction form
    531,513.22/797,430.77 = 189,911.90/x
  3. Step 3: Cross multiply
    531,513.22x = 797,430.77 × 189,911.90
  4. Step 4: Simplify right side
    531,513.22x = 151,441,596,594.99
  5. Step 5: Solve for x
    x = 151,441,596,594.99/531,513.22
  6. Step 6: Final answer
    x = 284,925.36

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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.