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Finding the Fourth Proportional to 521,636.30, 783,037.65 and 403,829.90

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Solution

The fourth proportional to 521,636.30, 783,037.65 and 403,829.90 is: 606,196.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,636.30 : 783,037.65 = 403,829.90 : x
  2. Step 2: Convert to fraction form
    521,636.30/783,037.65 = 403,829.90/x
  3. Step 3: Cross multiply
    521,636.30x = 783,037.65 × 403,829.90
  4. Step 4: Simplify right side
    521,636.30x = 316,214,015,895.74
  5. Step 5: Solve for x
    x = 316,214,015,895.74/521,636.30
  6. Step 6: Final answer
    x = 606,196.34

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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.