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Finding the Fourth Proportional to 410,709.60, 566,776.82 and 229,420.98

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Solution

The fourth proportional to 410,709.60, 566,776.82 and 229,420.98 is: 316,599.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,709.60 : 566,776.82 = 229,420.98 : x
  2. Step 2: Convert to fraction form
    410,709.60/566,776.82 = 229,420.98/x
  3. Step 3: Cross multiply
    410,709.60x = 566,776.82 × 229,420.98
  4. Step 4: Simplify right side
    410,709.60x = 130,030,493,485.68
  5. Step 5: Solve for x
    x = 130,030,493,485.68/410,709.60
  6. Step 6: Final answer
    x = 316,599.60

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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.