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Finding the Fourth Proportional to 595,081.94, 820,975.65 and 380,166.26

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Solution

The fourth proportional to 595,081.94, 820,975.65 and 380,166.26 is: 524,477.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,081.94 : 820,975.65 = 380,166.26 : x
  2. Step 2: Convert to fraction form
    595,081.94/820,975.65 = 380,166.26/x
  3. Step 3: Cross multiply
    595,081.94x = 820,975.65 × 380,166.26
  4. Step 4: Simplify right side
    595,081.94x = 312,107,242,411.57
  5. Step 5: Solve for x
    x = 312,107,242,411.57/595,081.94
  6. Step 6: Final answer
    x = 524,477.76

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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.