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Finding the Fourth Proportional to 596,143.04, 894,303.48 and 196,826

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Solution

The fourth proportional to 596,143.04, 894,303.48 and 196,826 is: 295,268.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,143.04 : 894,303.48 = 196,826 : x
  2. Step 2: Convert to fraction form
    596,143.04/894,303.48 = 196,826/x
  3. Step 3: Cross multiply
    596,143.04x = 894,303.48 × 196,826
  4. Step 4: Simplify right side
    596,143.04x = 176,022,176,754.48
  5. Step 5: Solve for x
    x = 176,022,176,754.48/596,143.04
  6. Step 6: Final answer
    x = 295,268.36

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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.