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Finding the Fourth Proportional to 584,684.19, 806,726.79 and 355,234.68

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Solution

The fourth proportional to 584,684.19, 806,726.79 and 355,234.68 is: 490,140.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,684.19 : 806,726.79 = 355,234.68 : x
  2. Step 2: Convert to fraction form
    584,684.19/806,726.79 = 355,234.68/x
  3. Step 3: Cross multiply
    584,684.19x = 806,726.79 × 355,234.68
  4. Step 4: Simplify right side
    584,684.19x = 286,577,333,093.08
  5. Step 5: Solve for x
    x = 286,577,333,093.08/584,684.19
  6. Step 6: Final answer
    x = 490,140.38

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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.