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Finding the Fourth Proportional to 585,710.19, 877,797.41 and 333,106.83

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Solution

The fourth proportional to 585,710.19, 877,797.41 and 333,106.83 is: 499,223.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,710.19 : 877,797.41 = 333,106.83 : x
  2. Step 2: Convert to fraction form
    585,710.19/877,797.41 = 333,106.83/x
  3. Step 3: Cross multiply
    585,710.19x = 877,797.41 × 333,106.83
  4. Step 4: Simplify right side
    585,710.19x = 292,400,310,961.78
  5. Step 5: Solve for x
    x = 292,400,310,961.78/585,710.19
  6. Step 6: Final answer
    x = 499,223.53

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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.