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Finding the Fourth Proportional to 1,782,522, 2,459,893.32 and 977,706

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Solution

The fourth proportional to 1,782,522, 2,459,893.32 and 977,706 is: 1,349,241.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782,522 : 2,459,893.32 = 977,706 : x
  2. Step 2: Convert to fraction form
    1,782,522/2,459,893.32 = 977,706/x
  3. Step 3: Cross multiply
    1,782,522x = 2,459,893.32 × 977,706
  4. Step 4: Simplify right side
    1,782,522x = 2,405,052,458,323.92
  5. Step 5: Solve for x
    x = 2,405,052,458,323.92/1,782,522
  6. Step 6: Final answer
    x = 1,349,241.39

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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.