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Finding the Fourth Proportional to 575,819.86, 794,634.16 and 317,696.80

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Solution

The fourth proportional to 575,819.86, 794,634.16 and 317,696.80 is: 438,423.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,819.86 : 794,634.16 = 317,696.80 : x
  2. Step 2: Convert to fraction form
    575,819.86/794,634.16 = 317,696.80/x
  3. Step 3: Cross multiply
    575,819.86x = 794,634.16 × 317,696.80
  4. Step 4: Simplify right side
    575,819.86x = 252,452,729,802.69
  5. Step 5: Solve for x
    x = 252,452,729,802.69/575,819.86
  6. Step 6: Final answer
    x = 438,423.10

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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.