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Finding the Fourth Proportional to 584,969.43, 807,263.15 and 343,256.03

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Solution

The fourth proportional to 584,969.43, 807,263.15 and 343,256.03 is: 473,696.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,969.43 : 807,263.15 = 343,256.03 : x
  2. Step 2: Convert to fraction form
    584,969.43/807,263.15 = 343,256.03/x
  3. Step 3: Cross multiply
    584,969.43x = 807,263.15 × 343,256.03
  4. Step 4: Simplify right side
    584,969.43x = 277,097,944,034.30
  5. Step 5: Solve for x
    x = 277,097,944,034.30/584,969.43
  6. Step 6: Final answer
    x = 473,696.45

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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.