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Finding the Fourth Proportional to 719,613.14, 993,065.60 and 413,749.31

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Solution

The fourth proportional to 719,613.14, 993,065.60 and 413,749.31 is: 570,973.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,613.14 : 993,065.60 = 413,749.31 : x
  2. Step 2: Convert to fraction form
    719,613.14/993,065.60 = 413,749.31/x
  3. Step 3: Cross multiply
    719,613.14x = 993,065.60 × 413,749.31
  4. Step 4: Simplify right side
    719,613.14x = 410,880,202,853.78
  5. Step 5: Solve for x
    x = 410,880,202,853.78/719,613.14
  6. Step 6: Final answer
    x = 570,973.74

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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.