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Finding the Fourth Proportional to 689,111.48, 950,897.73 and 413,454.68

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Solution

The fourth proportional to 689,111.48, 950,897.73 and 413,454.68 is: 570,521.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,111.48 : 950,897.73 = 413,454.68 : x
  2. Step 2: Convert to fraction form
    689,111.48/950,897.73 = 413,454.68/x
  3. Step 3: Cross multiply
    689,111.48x = 950,897.73 × 413,454.68
  4. Step 4: Simplify right side
    689,111.48x = 393,153,116,669.88
  5. Step 5: Solve for x
    x = 393,153,116,669.88/689,111.48
  6. Step 6: Final answer
    x = 570,521.79

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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.