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Finding the Fourth Proportional to 583,254.54, 804,891.33 and 314,982.54

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Solution

The fourth proportional to 583,254.54, 804,891.33 and 314,982.54 is: 434,675.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,254.54 : 804,891.33 = 314,982.54 : x
  2. Step 2: Convert to fraction form
    583,254.54/804,891.33 = 314,982.54/x
  3. Step 3: Cross multiply
    583,254.54x = 804,891.33 × 314,982.54
  4. Step 4: Simplify right side
    583,254.54x = 253,526,715,547.38
  5. Step 5: Solve for x
    x = 253,526,715,547.38/583,254.54
  6. Step 6: Final answer
    x = 434,675.94

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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.