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Finding the Fourth Proportional to 944,186.86, 1,302,978.09 and 514,467.10

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Solution

The fourth proportional to 944,186.86, 1,302,978.09 and 514,467.10 is: 709,964.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    944,186.86 : 1,302,978.09 = 514,467.10 : x
  2. Step 2: Convert to fraction form
    944,186.86/1,302,978.09 = 514,467.10/x
  3. Step 3: Cross multiply
    944,186.86x = 1,302,978.09 × 514,467.10
  4. Step 4: Simplify right side
    944,186.86x = 670,339,359,325.84
  5. Step 5: Solve for x
    x = 670,339,359,325.84/944,186.86
  6. Step 6: Final answer
    x = 709,964.72

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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.