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Finding the Fourth Proportional to 376,547.85, 519,543.99 and 213,208.11

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Solution

The fourth proportional to 376,547.85, 519,543.99 and 213,208.11 is: 294,175.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,547.85 : 519,543.99 = 213,208.11 : x
  2. Step 2: Convert to fraction form
    376,547.85/519,543.99 = 213,208.11/x
  3. Step 3: Cross multiply
    376,547.85x = 519,543.99 × 213,208.11
  4. Step 4: Simplify right side
    376,547.85x = 110,770,992,169.76
  5. Step 5: Solve for x
    x = 110,770,992,169.76/376,547.85
  6. Step 6: Final answer
    x = 294,175.08

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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.