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Finding the Fourth Proportional to 466,709.40, 700,409.70 and 186,427.80

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Solution

The fourth proportional to 466,709.40, 700,409.70 and 186,427.80 is: 279,779.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,709.40 : 700,409.70 = 186,427.80 : x
  2. Step 2: Convert to fraction form
    466,709.40/700,409.70 = 186,427.80/x
  3. Step 3: Cross multiply
    466,709.40x = 700,409.70 × 186,427.80
  4. Step 4: Simplify right side
    466,709.40x = 130,575,839,469.66
  5. Step 5: Solve for x
    x = 130,575,839,469.66/466,709.40
  6. Step 6: Final answer
    x = 279,779.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.