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Finding the Fourth Proportional to 765,338, 1,056,166.44 and 447,386

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Solution

The fourth proportional to 765,338, 1,056,166.44 and 447,386 is: 617,392.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,338 : 1,056,166.44 = 447,386 : x
  2. Step 2: Convert to fraction form
    765,338/1,056,166.44 = 447,386/x
  3. Step 3: Cross multiply
    765,338x = 1,056,166.44 × 447,386
  4. Step 4: Simplify right side
    765,338x = 472,514,078,925.84
  5. Step 5: Solve for x
    x = 472,514,078,925.84/765,338
  6. Step 6: Final answer
    x = 617,392.68

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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.