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Finding the Fourth Proportional to 569,470.58, 785,885.84 and 314,838.17

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Solution

The fourth proportional to 569,470.58, 785,885.84 and 314,838.17 is: 434,485.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,470.58 : 785,885.84 = 314,838.17 : x
  2. Step 2: Convert to fraction form
    569,470.58/785,885.84 = 314,838.17/x
  3. Step 3: Cross multiply
    569,470.58x = 785,885.84 × 314,838.17
  4. Step 4: Simplify right side
    569,470.58x = 247,426,859,694.51
  5. Step 5: Solve for x
    x = 247,426,859,694.51/569,470.58
  6. Step 6: Final answer
    x = 434,485.76

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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.