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Finding the Fourth Proportional to 689,094.83, 950,874.75 and 413,438.06

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Solution

The fourth proportional to 689,094.83, 950,874.75 and 413,438.06 is: 570,498.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,094.83 : 950,874.75 = 413,438.06 : x
  2. Step 2: Convert to fraction form
    689,094.83/950,874.75 = 413,438.06/x
  3. Step 3: Cross multiply
    689,094.83x = 950,874.75 × 413,438.06
  4. Step 4: Simplify right side
    689,094.83x = 393,127,814,320.17
  5. Step 5: Solve for x
    x = 393,127,814,320.17/689,094.83
  6. Step 6: Final answer
    x = 570,498.86

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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.