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Finding the Fourth Proportional to 569,376.20, 785,705.38 and 314,712.20

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Solution

The fourth proportional to 569,376.20, 785,705.38 and 314,712.20 is: 434,284.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,376.20 : 785,705.38 = 314,712.20 : x
  2. Step 2: Convert to fraction form
    569,376.20/785,705.38 = 314,712.20/x
  3. Step 3: Cross multiply
    569,376.20x = 785,705.38 × 314,712.20
  4. Step 4: Simplify right side
    569,376.20x = 247,271,068,691.64
  5. Step 5: Solve for x
    x = 247,271,068,691.64/569,376.20
  6. Step 6: Final answer
    x = 434,284.17

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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.