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Finding the Fourth Proportional to 1,782,149, 2,459,365.62 and 977,333

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Solution

The fourth proportional to 1,782,149, 2,459,365.62 and 977,333 is: 1,348,719.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782,149 : 2,459,365.62 = 977,333 : x
  2. Step 2: Convert to fraction form
    1,782,149/2,459,365.62 = 977,333/x
  3. Step 3: Cross multiply
    1,782,149x = 2,459,365.62 × 977,333
  4. Step 4: Simplify right side
    1,782,149x = 2,403,619,179,491.46
  5. Step 5: Solve for x
    x = 2,403,619,179,491.46/1,782,149
  6. Step 6: Final answer
    x = 1,348,719.54

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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.