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Finding the Fourth Proportional to 495,106.49, 745,346.75 and 443,668.25

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Solution

The fourth proportional to 495,106.49, 745,346.75 and 443,668.25 is: 667,910.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,106.49 : 745,346.75 = 443,668.25 : x
  2. Step 2: Convert to fraction form
    495,106.49/745,346.75 = 443,668.25/x
  3. Step 3: Cross multiply
    495,106.49x = 745,346.75 × 443,668.25
  4. Step 4: Simplify right side
    495,106.49x = 330,686,688,215.69
  5. Step 5: Solve for x
    x = 330,686,688,215.69/495,106.49
  6. Step 6: Final answer
    x = 667,910.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.