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Finding the Fourth Proportional to 705,166.96, 973,032.48 and 414,791.68

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Solution

The fourth proportional to 705,166.96, 973,032.48 and 414,791.68 is: 572,354.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,166.96 : 973,032.48 = 414,791.68 : x
  2. Step 2: Convert to fraction form
    705,166.96/973,032.48 = 414,791.68/x
  3. Step 3: Cross multiply
    705,166.96x = 973,032.48 × 414,791.68
  4. Step 4: Simplify right side
    705,166.96x = 403,605,777,073.77
  5. Step 5: Solve for x
    x = 403,605,777,073.77/705,166.96
  6. Step 6: Final answer
    x = 572,354.92

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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.