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Finding the Fourth Proportional to 569,398.06, 785,738.64 and 314,734.06

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Solution

The fourth proportional to 569,398.06, 785,738.64 and 314,734.06 is: 434,316.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,398.06 : 785,738.64 = 314,734.06 : x
  2. Step 2: Convert to fraction form
    569,398.06/785,738.64 = 314,734.06/x
  3. Step 3: Cross multiply
    569,398.06x = 785,738.64 × 314,734.06
  4. Step 4: Simplify right side
    569,398.06x = 247,298,712,266.08
  5. Step 5: Solve for x
    x = 247,298,712,266.08/569,398.06
  6. Step 6: Final answer
    x = 434,316.04

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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.