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Finding the Fourth Proportional to 556,949.94, 768,570.33 and 302,295.66

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Solution

The fourth proportional to 556,949.94, 768,570.33 and 302,295.66 is: 417,156.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,949.94 : 768,570.33 = 302,295.66 : x
  2. Step 2: Convert to fraction form
    556,949.94/768,570.33 = 302,295.66/x
  3. Step 3: Cross multiply
    556,949.94x = 768,570.33 × 302,295.66
  4. Step 4: Simplify right side
    556,949.94x = 232,335,475,163.77
  5. Step 5: Solve for x
    x = 232,335,475,163.77/556,949.94
  6. Step 6: Final answer
    x = 417,156.84

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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.