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Finding the Fourth Proportional to 591,804, 816,689.52 and 323,532

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Solution

The fourth proportional to 591,804, 816,689.52 and 323,532 is: 446,474.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,804 : 816,689.52 = 323,532 : x
  2. Step 2: Convert to fraction form
    591,804/816,689.52 = 323,532/x
  3. Step 3: Cross multiply
    591,804x = 816,689.52 × 323,532
  4. Step 4: Simplify right side
    591,804x = 264,225,193,784.64
  5. Step 5: Solve for x
    x = 264,225,193,784.64/591,804
  6. Step 6: Final answer
    x = 446,474.16

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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.