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Finding the Fourth Proportional to 583,210.78, 804,847.94 and 341,470.74

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Solution

The fourth proportional to 583,210.78, 804,847.94 and 341,470.74 is: 471,239.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,210.78 : 804,847.94 = 341,470.74 : x
  2. Step 2: Convert to fraction form
    583,210.78/804,847.94 = 341,470.74/x
  3. Step 3: Cross multiply
    583,210.78x = 804,847.94 × 341,470.74
  4. Step 4: Simplify right side
    583,210.78x = 274,832,015,927.68
  5. Step 5: Solve for x
    x = 274,832,015,927.68/583,210.78
  6. Step 6: Final answer
    x = 471,239.60

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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.