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Finding the Fourth Proportional to 864,006.10, 1,296,009.15 and 546,745.30

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Solution

The fourth proportional to 864,006.10, 1,296,009.15 and 546,745.30 is: 820,117.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,006.10 : 1,296,009.15 = 546,745.30 : x
  2. Step 2: Convert to fraction form
    864,006.10/1,296,009.15 = 546,745.30/x
  3. Step 3: Cross multiply
    864,006.10x = 1,296,009.15 × 546,745.30
  4. Step 4: Simplify right side
    864,006.10x = 708,586,911,519.50
  5. Step 5: Solve for x
    x = 708,586,911,519.50/864,006.10
  6. Step 6: Final answer
    x = 820,117.95

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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.