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Finding the Fourth Proportional to 700,518.90, 966,739.78 and 414,284.34

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Solution

The fourth proportional to 700,518.90, 966,739.78 and 414,284.34 is: 571,726.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,518.90 : 966,739.78 = 414,284.34 : x
  2. Step 2: Convert to fraction form
    700,518.90/966,739.78 = 414,284.34/x
  3. Step 3: Cross multiply
    700,518.90x = 966,739.78 × 414,284.34
  4. Step 4: Simplify right side
    700,518.90x = 400,505,151,709.05
  5. Step 5: Solve for x
    x = 400,505,151,709.05/700,518.90
  6. Step 6: Final answer
    x = 571,726.40

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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.