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Finding the Fourth Proportional to 384,703.06, 576,934.64 and 144,850.32

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Solution

The fourth proportional to 384,703.06, 576,934.64 and 144,850.32 is: 217,230.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,703.06 : 576,934.64 = 144,850.32 : x
  2. Step 2: Convert to fraction form
    384,703.06/576,934.64 = 144,850.32/x
  3. Step 3: Cross multiply
    384,703.06x = 576,934.64 × 144,850.32
  4. Step 4: Simplify right side
    384,703.06x = 83,569,167,223.08
  5. Step 5: Solve for x
    x = 83,569,167,223.08/384,703.06
  6. Step 6: Final answer
    x = 217,230.32

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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.