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Finding the Fourth Proportional to 417,399.84, 575,372.66 and 255,955.52

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Solution

The fourth proportional to 417,399.84, 575,372.66 and 255,955.52 is: 352,826.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,399.84 : 575,372.66 = 255,955.52 : x
  2. Step 2: Convert to fraction form
    417,399.84/575,372.66 = 255,955.52/x
  3. Step 3: Cross multiply
    417,399.84x = 575,372.66 × 255,955.52
  4. Step 4: Simplify right side
    417,399.84x = 147,269,808,384.08
  5. Step 5: Solve for x
    x = 147,269,808,384.08/417,399.84
  6. Step 6: Final answer
    x = 352,826.70

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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.