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Finding the Fourth Proportional to 475,976.40, 714,309.88 and 383,597.52

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Solution

The fourth proportional to 475,976.40, 714,309.88 and 383,597.52 is: 575,674.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,976.40 : 714,309.88 = 383,597.52 : x
  2. Step 2: Convert to fraction form
    475,976.40/714,309.88 = 383,597.52/x
  3. Step 3: Cross multiply
    475,976.40x = 714,309.88 × 383,597.52
  4. Step 4: Simplify right side
    475,976.40x = 274,007,498,479.50
  5. Step 5: Solve for x
    x = 274,007,498,479.50/475,976.40
  6. Step 6: Final answer
    x = 575,674.55

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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.