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Finding the Fourth Proportional to 472,435.49, 708,687.90 and 202,300.18

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Solution

The fourth proportional to 472,435.49, 708,687.90 and 202,300.18 is: 303,465.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,435.49 : 708,687.90 = 202,300.18 : x
  2. Step 2: Convert to fraction form
    472,435.49/708,687.90 = 202,300.18/x
  3. Step 3: Cross multiply
    472,435.49x = 708,687.90 × 202,300.18
  4. Step 4: Simplify right side
    472,435.49x = 143,367,687,962.10
  5. Step 5: Solve for x
    x = 143,367,687,962.10/472,435.49
  6. Step 6: Final answer
    x = 303,465.11

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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.