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Finding the Fourth Proportional to 705,507.84, 973,618.38 and 383,217.84

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Solution

The fourth proportional to 705,507.84, 973,618.38 and 383,217.84 is: 528,850.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,507.84 : 973,618.38 = 383,217.84 : x
  2. Step 2: Convert to fraction form
    705,507.84/973,618.38 = 383,217.84/x
  3. Step 3: Cross multiply
    705,507.84x = 973,618.38 × 383,217.84
  4. Step 4: Simplify right side
    705,507.84x = 373,107,932,567.90
  5. Step 5: Solve for x
    x = 373,107,932,567.90/705,507.84
  6. Step 6: Final answer
    x = 528,850.16

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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.