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Finding the Fourth Proportional to 468,145.90, 646,041.10 and 264,239.61

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Solution

The fourth proportional to 468,145.90, 646,041.10 and 264,239.61 is: 364,650.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,145.90 : 646,041.10 = 264,239.61 : x
  2. Step 2: Convert to fraction form
    468,145.90/646,041.10 = 264,239.61/x
  3. Step 3: Cross multiply
    468,145.90x = 646,041.10 × 264,239.61
  4. Step 4: Simplify right side
    468,145.90x = 170,709,648,307.97
  5. Step 5: Solve for x
    x = 170,709,648,307.97/468,145.90
  6. Step 6: Final answer
    x = 364,650.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.