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Finding the Fourth Proportional to 569,446.50, 785,767.95 and 314,763.06

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Solution

The fourth proportional to 569,446.50, 785,767.95 and 314,763.06 is: 434,335.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,446.50 : 785,767.95 = 314,763.06 : x
  2. Step 2: Convert to fraction form
    569,446.50/785,767.95 = 314,763.06/x
  3. Step 3: Cross multiply
    569,446.50x = 785,767.95 × 314,763.06
  4. Step 4: Simplify right side
    569,446.50x = 247,330,724,391.93
  5. Step 5: Solve for x
    x = 247,330,724,391.93/569,446.50
  6. Step 6: Final answer
    x = 434,335.31

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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.