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Finding the Fourth Proportional to 705,349.62, 973,382.23 and 383,059.80

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Solution

The fourth proportional to 705,349.62, 973,382.23 and 383,059.80 is: 528,622.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,349.62 : 973,382.23 = 383,059.80 : x
  2. Step 2: Convert to fraction form
    705,349.62/973,382.23 = 383,059.80/x
  3. Step 3: Cross multiply
    705,349.62x = 973,382.23 × 383,059.80
  4. Step 4: Simplify right side
    705,349.62x = 372,863,602,347.35
  5. Step 5: Solve for x
    x = 372,863,602,347.35/705,349.62
  6. Step 6: Final answer
    x = 528,622.39

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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.