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Finding the Fourth Proportional to 583,213, 804,833.94 and 314,941

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Solution

The fourth proportional to 583,213, 804,833.94 and 314,941 is: 434,618.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,213 : 804,833.94 = 314,941 : x
  2. Step 2: Convert to fraction form
    583,213/804,833.94 = 314,941/x
  3. Step 3: Cross multiply
    583,213x = 804,833.94 × 314,941
  4. Step 4: Simplify right side
    583,213x = 253,475,205,897.54
  5. Step 5: Solve for x
    x = 253,475,205,897.54/583,213
  6. Step 6: Final answer
    x = 434,618.58

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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.