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Finding the Fourth Proportional to 586,390.33, 809,173.95 and 328,208.14

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Solution

The fourth proportional to 586,390.33, 809,173.95 and 328,208.14 is: 452,902.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,390.33 : 809,173.95 = 328,208.14 : x
  2. Step 2: Convert to fraction form
    586,390.33/809,173.95 = 328,208.14/x
  3. Step 3: Cross multiply
    586,390.33x = 809,173.95 × 328,208.14
  4. Step 4: Simplify right side
    586,390.33x = 265,577,477,065.95
  5. Step 5: Solve for x
    x = 265,577,477,065.95/586,390.33
  6. Step 6: Final answer
    x = 452,902.21

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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.