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Finding the Fourth Proportional to 532,555.40, 798,833.10 and 413,582.60

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Solution

The fourth proportional to 532,555.40, 798,833.10 and 413,582.60 is: 620,373.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,555.40 : 798,833.10 = 413,582.60 : x
  2. Step 2: Convert to fraction form
    532,555.40/798,833.10 = 413,582.60/x
  3. Step 3: Cross multiply
    532,555.40x = 798,833.10 × 413,582.60
  4. Step 4: Simplify right side
    532,555.40x = 330,383,470,464.06
  5. Step 5: Solve for x
    x = 330,383,470,464.06/532,555.40
  6. Step 6: Final answer
    x = 620,373.90

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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.