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Finding the Fourth Proportional to 711,838.66, 982,185.44 and 421,541.41

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Solution

The fourth proportional to 711,838.66, 982,185.44 and 421,541.41 is: 581,637.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,838.66 : 982,185.44 = 421,541.41 : x
  2. Step 2: Convert to fraction form
    711,838.66/982,185.44 = 421,541.41/x
  3. Step 3: Cross multiply
    711,838.66x = 982,185.44 × 421,541.41
  4. Step 4: Simplify right side
    711,838.66x = 414,031,835,259.07
  5. Step 5: Solve for x
    x = 414,031,835,259.07/711,838.66
  6. Step 6: Final answer
    x = 581,637.19

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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.