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Finding the Fourth Proportional to 537,109.90, 804,973.65 and 411,829.90

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Solution

The fourth proportional to 537,109.90, 804,973.65 and 411,829.90 is: 617,214.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,109.90 : 804,973.65 = 411,829.90 : x
  2. Step 2: Convert to fraction form
    537,109.90/804,973.65 = 411,829.90/x
  3. Step 3: Cross multiply
    537,109.90x = 804,973.65 × 411,829.90
  4. Step 4: Simplify right side
    537,109.90x = 331,512,217,782.14
  5. Step 5: Solve for x
    x = 331,512,217,782.14/537,109.90
  6. Step 6: Final answer
    x = 617,214.87

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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.