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Finding the Fourth Proportional to 705,456.54, 973,532.81 and 383,172.02

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Solution

The fourth proportional to 705,456.54, 973,532.81 and 383,172.02 is: 528,778.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,456.54 : 973,532.81 = 383,172.02 : x
  2. Step 2: Convert to fraction form
    705,456.54/973,532.81 = 383,172.02/x
  3. Step 3: Cross multiply
    705,456.54x = 973,532.81 × 383,172.02
  4. Step 4: Simplify right side
    705,456.54x = 373,030,526,560.45
  5. Step 5: Solve for x
    x = 373,030,526,560.45/705,456.54
  6. Step 6: Final answer
    x = 528,778.89

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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.