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Finding the Fourth Proportional to 496,875.08, 685,749.57 and 282,084.68

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Solution

The fourth proportional to 496,875.08, 685,749.57 and 282,084.68 is: 389,312.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,875.08 : 685,749.57 = 282,084.68 : x
  2. Step 2: Convert to fraction form
    496,875.08/685,749.57 = 282,084.68/x
  3. Step 3: Cross multiply
    496,875.08x = 685,749.57 × 282,084.68
  4. Step 4: Simplify right side
    496,875.08x = 193,439,448,013.59
  5. Step 5: Solve for x
    x = 193,439,448,013.59/496,875.08
  6. Step 6: Final answer
    x = 389,312.03

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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.