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Finding the Fourth Proportional to 532,569.40, 798,465.30 and 216,863.80

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Solution

The fourth proportional to 532,569.40, 798,465.30 and 216,863.80 is: 325,137.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,569.40 : 798,465.30 = 216,863.80 : x
  2. Step 2: Convert to fraction form
    532,569.40/798,465.30 = 216,863.80/x
  3. Step 3: Cross multiply
    532,569.40x = 798,465.30 × 216,863.80
  4. Step 4: Simplify right side
    532,569.40x = 173,158,219,126.14
  5. Step 5: Solve for x
    x = 173,158,219,126.14/532,569.40
  6. Step 6: Final answer
    x = 325,137.38

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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.