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Finding the Fourth Proportional to 754,944, 1,041,830.10 and 415,419.54

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Solution

The fourth proportional to 754,944, 1,041,830.10 and 415,419.54 is: 573,283.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,944 : 1,041,830.10 = 415,419.54 : x
  2. Step 2: Convert to fraction form
    754,944/1,041,830.10 = 415,419.54/x
  3. Step 3: Cross multiply
    754,944x = 1,041,830.10 × 415,419.54
  4. Step 4: Simplify right side
    754,944x = 432,796,580,900.15
  5. Step 5: Solve for x
    x = 432,796,580,900.15/754,944
  6. Step 6: Final answer
    x = 573,283.03

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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.