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Finding the Fourth Proportional to 410,416.25, 566,383.95 and 257,460.89

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Solution

The fourth proportional to 410,416.25, 566,383.95 and 257,460.89 is: 355,302.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,416.25 : 566,383.95 = 257,460.89 : x
  2. Step 2: Convert to fraction form
    410,416.25/566,383.95 = 257,460.89/x
  3. Step 3: Cross multiply
    410,416.25x = 566,383.95 × 257,460.89
  4. Step 4: Simplify right side
    410,416.25x = 145,821,713,016.80
  5. Step 5: Solve for x
    x = 145,821,713,016.80/410,416.25
  6. Step 6: Final answer
    x = 355,302.00

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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.