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Finding the Fourth Proportional to 413,917.74, 623,642.51 and 373,983.14

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Solution

The fourth proportional to 413,917.74, 623,642.51 and 373,983.14 is: 563,473.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,917.74 : 623,642.51 = 373,983.14 : x
  2. Step 2: Convert to fraction form
    413,917.74/623,642.51 = 373,983.14/x
  3. Step 3: Cross multiply
    413,917.74x = 623,642.51 × 373,983.14
  4. Step 4: Simplify right side
    413,917.74x = 233,231,782,257.37
  5. Step 5: Solve for x
    x = 233,231,782,257.37/413,917.74
  6. Step 6: Final answer
    x = 563,473.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.