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Finding the Fourth Proportional to 532,969.40, 798,417.30 and 321,980.60

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Solution

The fourth proportional to 532,969.40, 798,417.30 and 321,980.60 is: 482,344.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,969.40 : 798,417.30 = 321,980.60 : x
  2. Step 2: Convert to fraction form
    532,969.40/798,417.30 = 321,980.60/x
  3. Step 3: Cross multiply
    532,969.40x = 798,417.30 × 321,980.60
  4. Step 4: Simplify right side
    532,969.40x = 257,074,881,304.38
  5. Step 5: Solve for x
    x = 257,074,881,304.38/532,969.40
  6. Step 6: Final answer
    x = 482,344.54

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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.