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Finding the Fourth Proportional to 529,675.40, 794,513.10 and 471,614.60

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Solution

The fourth proportional to 529,675.40, 794,513.10 and 471,614.60 is: 707,421.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,675.40 : 794,513.10 = 471,614.60 : x
  2. Step 2: Convert to fraction form
    529,675.40/794,513.10 = 471,614.60/x
  3. Step 3: Cross multiply
    529,675.40x = 794,513.10 × 471,614.60
  4. Step 4: Simplify right side
    529,675.40x = 374,703,977,851.26
  5. Step 5: Solve for x
    x = 374,703,977,851.26/529,675.40
  6. Step 6: Final answer
    x = 707,421.90

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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.