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Finding the Fourth Proportional to 656,597.10, 906,525.62 and 411,917.24

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Solution

The fourth proportional to 656,597.10, 906,525.62 and 411,917.24 is: 568,710.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,597.10 : 906,525.62 = 411,917.24 : x
  2. Step 2: Convert to fraction form
    656,597.10/906,525.62 = 411,917.24/x
  3. Step 3: Cross multiply
    656,597.10x = 906,525.62 × 411,917.24
  4. Step 4: Simplify right side
    656,597.10x = 373,413,531,379.69
  5. Step 5: Solve for x
    x = 373,413,531,379.69/656,597.10
  6. Step 6: Final answer
    x = 568,710.30

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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.