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Finding the Fourth Proportional to 700,173.44, 966,196.80 and 413,624.96

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Solution

The fourth proportional to 700,173.44, 966,196.80 and 413,624.96 is: 570,777.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,173.44 : 966,196.80 = 413,624.96 : x
  2. Step 2: Convert to fraction form
    700,173.44/966,196.80 = 413,624.96/x
  3. Step 3: Cross multiply
    700,173.44x = 966,196.80 × 413,624.96
  4. Step 4: Simplify right side
    700,173.44x = 399,643,112,752.13
  5. Step 5: Solve for x
    x = 399,643,112,752.13/700,173.44
  6. Step 6: Final answer
    x = 570,777.31

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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.