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Finding the Fourth Proportional to 705,431.67, 973,498.49 and 383,147.15

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Solution

The fourth proportional to 705,431.67, 973,498.49 and 383,147.15 is: 528,744.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,431.67 : 973,498.49 = 383,147.15 : x
  2. Step 2: Convert to fraction form
    705,431.67/973,498.49 = 383,147.15/x
  3. Step 3: Cross multiply
    705,431.67x = 973,498.49 × 383,147.15
  4. Step 4: Simplify right side
    705,431.67x = 372,993,165,189.58
  5. Step 5: Solve for x
    x = 372,993,165,189.58/705,431.67
  6. Step 6: Final answer
    x = 528,744.57

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Double scale
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1.5x scale

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.