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Finding the Fourth Proportional to 581,346.64, 802,267.69 and 319,712.29

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Solution

The fourth proportional to 581,346.64, 802,267.69 and 319,712.29 is: 441,208.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,346.64 : 802,267.69 = 319,712.29 : x
  2. Step 2: Convert to fraction form
    581,346.64/802,267.69 = 319,712.29/x
  3. Step 3: Cross multiply
    581,346.64x = 802,267.69 × 319,712.29
  4. Step 4: Simplify right side
    581,346.64x = 256,494,839,056.61
  5. Step 5: Solve for x
    x = 256,494,839,056.61/581,346.64
  6. Step 6: Final answer
    x = 441,208.09

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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.