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Finding the Fourth Proportional to 1,078,384, 1,488,169.92 and 601,456

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Solution

The fourth proportional to 1,078,384, 1,488,169.92 and 601,456 is: 830,009.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078,384 : 1,488,169.92 = 601,456 : x
  2. Step 2: Convert to fraction form
    1,078,384/1,488,169.92 = 601,456/x
  3. Step 3: Cross multiply
    1,078,384x = 1,488,169.92 × 601,456
  4. Step 4: Simplify right side
    1,078,384x = 895,068,727,403.52
  5. Step 5: Solve for x
    x = 895,068,727,403.52/1,078,384
  6. Step 6: Final answer
    x = 830,009.28

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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.