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Finding the Fourth Proportional to 496,898.22, 685,722.75 and 282,041.91

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Solution

The fourth proportional to 496,898.22, 685,722.75 and 282,041.91 is: 389,219.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,898.22 : 685,722.75 = 282,041.91 : x
  2. Step 2: Convert to fraction form
    496,898.22/685,722.75 = 282,041.91/x
  3. Step 3: Cross multiply
    496,898.22x = 685,722.75 × 282,041.91
  4. Step 4: Simplify right side
    496,898.22x = 193,402,554,140.45
  5. Step 5: Solve for x
    x = 193,402,554,140.45/496,898.22
  6. Step 6: Final answer
    x = 389,219.66

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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.