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Finding the Fourth Proportional to 569,838.80, 853,721.40 and 464,085.20

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Solution

The fourth proportional to 569,838.80, 853,721.40 and 464,085.20 is: 695,283.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,838.80 : 853,721.40 = 464,085.20 : x
  2. Step 2: Convert to fraction form
    569,838.80/853,721.40 = 464,085.20/x
  3. Step 3: Cross multiply
    569,838.80x = 853,721.40 × 464,085.20
  4. Step 4: Simplify right side
    569,838.80x = 396,199,466,663.28
  5. Step 5: Solve for x
    x = 396,199,466,663.28/569,838.80
  6. Step 6: Final answer
    x = 695,283.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.