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Finding the Fourth Proportional to 838,065, 1,156,507.52 and 456,083.60

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Solution

The fourth proportional to 838,065, 1,156,507.52 and 456,083.60 is: 629,383.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,065 : 1,156,507.52 = 456,083.60 : x
  2. Step 2: Convert to fraction form
    838,065/1,156,507.52 = 456,083.60/x
  3. Step 3: Cross multiply
    838,065x = 1,156,507.52 × 456,083.60
  4. Step 4: Simplify right side
    838,065x = 527,464,113,148.67
  5. Step 5: Solve for x
    x = 527,464,113,148.67/838,065
  6. Step 6: Final answer
    x = 629,383.30

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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.