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Finding the Fourth Proportional to 944,137.54, 1,302,893.40 and 514,421.20

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Solution

The fourth proportional to 944,137.54, 1,302,893.40 and 514,421.20 is: 709,892.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    944,137.54 : 1,302,893.40 = 514,421.20 : x
  2. Step 2: Convert to fraction form
    944,137.54/1,302,893.40 = 514,421.20/x
  3. Step 3: Cross multiply
    944,137.54x = 1,302,893.40 × 514,421.20
  4. Step 4: Simplify right side
    944,137.54x = 670,235,986,300.08
  5. Step 5: Solve for x
    x = 670,235,986,300.08/944,137.54
  6. Step 6: Final answer
    x = 709,892.32

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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.