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Finding the Fourth Proportional to 711,507, 982,112.94 and 510,886.20

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Solution

The fourth proportional to 711,507, 982,112.94 and 510,886.20 is: 705,190.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,507 : 982,112.94 = 510,886.20 : x
  2. Step 2: Convert to fraction form
    711,507/982,112.94 = 510,886.20/x
  3. Step 3: Cross multiply
    711,507x = 982,112.94 × 510,886.20
  4. Step 4: Simplify right side
    711,507x = 501,747,947,887.43
  5. Step 5: Solve for x
    x = 501,747,947,887.43/711,507
  6. Step 6: Final answer
    x = 705,190.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.