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Finding the Fourth Proportional to 472,436.25, 708,689.03 and 202,300.94

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Solution

The fourth proportional to 472,436.25, 708,689.03 and 202,300.94 is: 303,466.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,436.25 : 708,689.03 = 202,300.94 : x
  2. Step 2: Convert to fraction form
    472,436.25/708,689.03 = 202,300.94/x
  3. Step 3: Cross multiply
    472,436.25x = 708,689.03 × 202,300.94
  4. Step 4: Simplify right side
    472,436.25x = 143,368,452,381.74
  5. Step 5: Solve for x
    x = 143,368,452,381.74/472,436.25
  6. Step 6: Final answer
    x = 303,466.24

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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.