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Finding the Fourth Proportional to 704,135.48, 971,707.16 and 381,845.48

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Solution

The fourth proportional to 704,135.48, 971,707.16 and 381,845.48 is: 526,946.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,135.48 : 971,707.16 = 381,845.48 : x
  2. Step 2: Convert to fraction form
    704,135.48/971,707.16 = 381,845.48/x
  3. Step 3: Cross multiply
    704,135.48x = 971,707.16 × 381,845.48
  4. Step 4: Simplify right side
    704,135.48x = 371,041,986,929.64
  5. Step 5: Solve for x
    x = 371,041,986,929.64/704,135.48
  6. Step 6: Final answer
    x = 526,946.87

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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.