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Finding the Fourth Proportional to 662,541.94, 993,286.41 and 288,302.50

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Solution

The fourth proportional to 662,541.94, 993,286.41 and 288,302.50 is: 432,224.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,541.94 : 993,286.41 = 288,302.50 : x
  2. Step 2: Convert to fraction form
    662,541.94/993,286.41 = 288,302.50/x
  3. Step 3: Cross multiply
    662,541.94x = 993,286.41 × 288,302.50
  4. Step 4: Simplify right side
    662,541.94x = 286,366,955,219.03
  5. Step 5: Solve for x
    x = 286,366,955,219.03/662,541.94
  6. Step 6: Final answer
    x = 432,224.65

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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.