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Finding the Fourth Proportional to 468,563.46, 646,134.29 and 400,804.74

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Solution

The fourth proportional to 468,563.46, 646,134.29 and 400,804.74 is: 552,697.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,563.46 : 646,134.29 = 400,804.74 : x
  2. Step 2: Convert to fraction form
    468,563.46/646,134.29 = 400,804.74/x
  3. Step 3: Cross multiply
    468,563.46x = 646,134.29 × 400,804.74
  4. Step 4: Simplify right side
    468,563.46x = 258,973,684,104.51
  5. Step 5: Solve for x
    x = 258,973,684,104.51/468,563.46
  6. Step 6: Final answer
    x = 552,697.14

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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.