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Finding the Fourth Proportional to 576,461.33, 866,004.20 and 417,029.03

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Solution

The fourth proportional to 576,461.33, 866,004.20 and 417,029.03 is: 626,492.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,461.33 : 866,004.20 = 417,029.03 : x
  2. Step 2: Convert to fraction form
    576,461.33/866,004.20 = 417,029.03/x
  3. Step 3: Cross multiply
    576,461.33x = 866,004.20 × 417,029.03
  4. Step 4: Simplify right side
    576,461.33x = 361,148,891,501.93
  5. Step 5: Solve for x
    x = 361,148,891,501.93/576,461.33
  6. Step 6: Final answer
    x = 626,492.83

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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.