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Finding the Fourth Proportional to 580,971.80, 869,841.40 and 296,048.10

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Solution

The fourth proportional to 580,971.80, 869,841.40 and 296,048.10 is: 443,248.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,971.80 : 869,841.40 = 296,048.10 : x
  2. Step 2: Convert to fraction form
    580,971.80/869,841.40 = 296,048.10/x
  3. Step 3: Cross multiply
    580,971.80x = 869,841.40 × 296,048.10
  4. Step 4: Simplify right side
    580,971.80x = 257,514,893,771.34
  5. Step 5: Solve for x
    x = 257,514,893,771.34/580,971.80
  6. Step 6: Final answer
    x = 443,248.53

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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.