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Finding the Fourth Proportional to 446,543.70, 669,037.95 and 384,335.70

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Solution

The fourth proportional to 446,543.70, 669,037.95 and 384,335.70 is: 575,834.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,543.70 : 669,037.95 = 384,335.70 : x
  2. Step 2: Convert to fraction form
    446,543.70/669,037.95 = 384,335.70/x
  3. Step 3: Cross multiply
    446,543.70x = 669,037.95 × 384,335.70
  4. Step 4: Simplify right side
    446,543.70x = 257,135,168,839.82
  5. Step 5: Solve for x
    x = 257,135,168,839.82/446,543.70
  6. Step 6: Final answer
    x = 575,834.28

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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.