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Finding the Fourth Proportional to 504,713.06, 696,545.90 and 289,894.58

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Solution

The fourth proportional to 504,713.06, 696,545.90 and 289,894.58 is: 400,078.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,713.06 : 696,545.90 = 289,894.58 : x
  2. Step 2: Convert to fraction form
    504,713.06/696,545.90 = 289,894.58/x
  3. Step 3: Cross multiply
    504,713.06x = 696,545.90 × 289,894.58
  4. Step 4: Simplify right side
    504,713.06x = 201,924,881,131.22
  5. Step 5: Solve for x
    x = 201,924,881,131.22/504,713.06
  6. Step 6: Final answer
    x = 400,078.57

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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.