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Finding the Fourth Proportional to 705,324.78, 973,294.23 and 414,947.88

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Solution

The fourth proportional to 705,324.78, 973,294.23 and 414,947.88 is: 572,596.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,324.78 : 973,294.23 = 414,947.88 : x
  2. Step 2: Convert to fraction form
    705,324.78/973,294.23 = 414,947.88/x
  3. Step 3: Cross multiply
    705,324.78x = 973,294.23 × 414,947.88
  4. Step 4: Simplify right side
    705,324.78x = 403,866,377,354.73
  5. Step 5: Solve for x
    x = 403,866,377,354.73/705,324.78
  6. Step 6: Final answer
    x = 572,596.33

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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.