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Finding the Fourth Proportional to 585,691.90, 877,533.96 and 393,205.84

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Solution

The fourth proportional to 585,691.90, 877,533.96 and 393,205.84 is: 589,134.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,691.90 : 877,533.96 = 393,205.84 : x
  2. Step 2: Convert to fraction form
    585,691.90/877,533.96 = 393,205.84/x
  3. Step 3: Cross multiply
    585,691.90x = 877,533.96 × 393,205.84
  4. Step 4: Simplify right side
    585,691.90x = 345,051,477,870.33
  5. Step 5: Solve for x
    x = 345,051,477,870.33/585,691.90
  6. Step 6: Final answer
    x = 589,134.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.