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Finding the Fourth Proportional to 584,068, 806,013.84 and 315,796

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Solution

The fourth proportional to 584,068, 806,013.84 and 315,796 is: 435,798.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,068 : 806,013.84 = 315,796 : x
  2. Step 2: Convert to fraction form
    584,068/806,013.84 = 315,796/x
  3. Step 3: Cross multiply
    584,068x = 806,013.84 × 315,796
  4. Step 4: Simplify right side
    584,068x = 254,535,946,616.64
  5. Step 5: Solve for x
    x = 254,535,946,616.64/584,068
  6. Step 6: Final answer
    x = 435,798.48

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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.