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Finding the Fourth Proportional to 413,909.64, 571,200.84 and 250,564.32

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Solution

The fourth proportional to 413,909.64, 571,200.84 and 250,564.32 is: 345,782.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,909.64 : 571,200.84 = 250,564.32 : x
  2. Step 2: Convert to fraction form
    413,909.64/571,200.84 = 250,564.32/x
  3. Step 3: Cross multiply
    413,909.64x = 571,200.84 × 250,564.32
  4. Step 4: Simplify right side
    413,909.64x = 143,122,550,058.03
  5. Step 5: Solve for x
    x = 143,122,550,058.03/413,909.64
  6. Step 6: Final answer
    x = 345,782.11

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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.