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Finding the Fourth Proportional to 469,541, 704,415.18 and 174,053

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Solution

The fourth proportional to 469,541, 704,415.18 and 174,053 is: 261,117.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,541 : 704,415.18 = 174,053 : x
  2. Step 2: Convert to fraction form
    469,541/704,415.18 = 174,053/x
  3. Step 3: Cross multiply
    469,541x = 704,415.18 × 174,053
  4. Step 4: Simplify right side
    469,541x = 122,605,575,324.54
  5. Step 5: Solve for x
    x = 122,605,575,324.54/469,541
  6. Step 6: Final answer
    x = 261,117.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.