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Finding the Fourth Proportional to 584,839.35, 807,148.22 and 355,434

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Solution

The fourth proportional to 584,839.35, 807,148.22 and 355,434 is: 490,541.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,839.35 : 807,148.22 = 355,434 : x
  2. Step 2: Convert to fraction form
    584,839.35/807,148.22 = 355,434/x
  3. Step 3: Cross multiply
    584,839.35x = 807,148.22 × 355,434
  4. Step 4: Simplify right side
    584,839.35x = 286,887,918,650.31
  5. Step 5: Solve for x
    x = 286,887,918,650.31/584,839.35
  6. Step 6: Final answer
    x = 490,541.41

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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.